Solve x/5=3/7ENTONCESx.7 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$x/5=3/7ENTONCESx.7$$

Solve for C (complex solution)

$\left\{\begin{matrix}C=\frac{2}{3OST\left(EN\right)^{2}}\text{, }&N\neq 0\text{ and }E\neq 0\text{ and }S\neq 0\text{ and }O\neq 0\text{ and }T\neq 0\\C\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$

Steps for Solving Linear Equation

Multiply both sides of the equation by $35$, the least common multiple of $5,7$.

$$7x=15ENTONCESx\times 0.7$$

Multiply $E$ and $E$ to get $E^{2}$.

$$7x=15E^{2}NTONCSx\times 0.7$$

Multiply $N$ and $N$ to get $N^{2}$.

$$7x=15E^{2}N^{2}TOCSx\times 0.7$$

Multiply $15$ and $0.7$ to get $10.5$.

$$7x=10.5E^{2}N^{2}TOCSx$$

Swap sides so that all variable terms are on the left hand side.

$$10.5E^{2}N^{2}TOCSx=7x$$

The equation is in standard form.

$$\frac{21OSTxE^{2}N^{2}}{2}C=7x$$

Divide both sides by $10.5E^{2}N^{2}TOSx$.

$$\frac{2\times \frac{21OSTxE^{2}N^{2}}{2}C}{21OSTxE^{2}N^{2}}=\frac{2\times 7x}{21OSTxE^{2}N^{2}}$$

Dividing by $10.5E^{2}N^{2}TOSx$ undoes the multiplication by $10.5E^{2}N^{2}TOSx$.

$$C=\frac{2\times 7x}{21OSTxE^{2}N^{2}}$$

Divide $7x$ by $10.5E^{2}N^{2}TOSx$.

$$C=\frac{2}{3OSTE^{2}N^{2}}$$

Solve for C

$\left\{\begin{matrix}C=\frac{2}{3OST\left(EN\right)^{2}}\text{, }&N\neq 0\text{ and }E\neq 0\text{ and }S\neq 0\text{ and }O\neq 0\text{ and }T\neq 0\\C\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$

Steps for Solving Linear Equation

Multiply both sides of the equation by $35$, the least common multiple of $5,7$.

$$7x=15ENTONCESx\times 0.7$$

Multiply $E$ and $E$ to get $E^{2}$.

$$7x=15E^{2}NTONCSx\times 0.7$$

Multiply $N$ and $N$ to get $N^{2}$.

$$7x=15E^{2}N^{2}TOCSx\times 0.7$$

Multiply $15$ and $0.7$ to get $10.5$.

$$7x=10.5E^{2}N^{2}TOCSx$$

Swap sides so that all variable terms are on the left hand side.

$$10.5E^{2}N^{2}TOCSx=7x$$

The equation is in standard form.

$$\frac{21OSTxE^{2}N^{2}}{2}C=7x$$

Divide both sides by $10.5E^{2}N^{2}TOSx$.

$$\frac{2\times \frac{21OSTxE^{2}N^{2}}{2}C}{21OSTxE^{2}N^{2}}=\frac{2\times 7x}{21OSTxE^{2}N^{2}}$$

Dividing by $10.5E^{2}N^{2}TOSx$ undoes the multiplication by $10.5E^{2}N^{2}TOSx$.

$$C=\frac{2\times 7x}{21OSTxE^{2}N^{2}}$$

Divide $7x$ by $10.5E^{2}N^{2}TOSx$.

$$C=\frac{2}{3OST\left(EN\right)^{2}}$$

Solve for E (complex solution)

$\left\{\begin{matrix}E=-\frac{\sqrt{6}C^{-0.5}O^{-0.5}S^{-0.5}T^{-0.5}}{3N}\text{; }E=\frac{\sqrt{6}C^{-0.5}O^{-0.5}S^{-0.5}T^{-0.5}}{3N}\text{, }&N\neq 0\text{ and }S\neq 0\text{ and }C\neq 0\text{ and }O\neq 0\text{ and }T\neq 0\\E\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$