Solve n+ 1 n =5 225 3 pi m 2m9(V(n^ 2 -h)=525) | 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

$$n+\frac{1}{n}=5\ 225\ 3\pi m\ 2m9(V(n^{2}-h)=525)$$

Solve for n

$n=\frac{1}{3x}$
$x\neq 0$

Steps for Solving Linear Equation

Variable $n$ cannot be equal to $0$ since division by zero is not defined. Multiply both sides of the equation by $n$.

$$nx+1=5xn-xn$$

Combine $5xn$ and $-xn$ to get $4xn$.

$$nx+1=4xn$$

Subtract $4xn$ from both sides.

$$nx+1-4xn=0$$

Combine $nx$ and $-4xn$ to get $-3nx$.

$$-3nx+1=0$$

Subtract $1$ from both sides. Anything subtracted from zero gives its negation.

$$-3nx=-1$$

The equation is in standard form.

$$\left(-3x\right)n=-1$$

Divide both sides by $-3x$.

$$\frac{\left(-3x\right)n}{-3x}=-\frac{1}{-3x}$$

Dividing by $-3x$ undoes the multiplication by $-3x$.

$$n=-\frac{1}{-3x}$$

Divide $-1$ by $-3x$.

$$n=\frac{1}{3x}$$

Variable $n$ cannot be equal to $0$.

$$n=\frac{1}{3x}\text{, }n\neq 0$$

Solve for x

$x=\frac{1}{3n}$
$n\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $n$.

$$nx+1=5xn-xn$$

Combine $5xn$ and $-xn$ to get $4xn$.

$$nx+1=4xn$$

Subtract $4xn$ from both sides.

$$nx+1-4xn=0$$

Combine $nx$ and $-4xn$ to get $-3nx$.

$$-3nx+1=0$$

Subtract $1$ from both sides. Anything subtracted from zero gives its negation.

$$-3nx=-1$$

The equation is in standard form.

$$\left(-3n\right)x=-1$$

Divide both sides by $-3n$.

$$\frac{\left(-3n\right)x}{-3n}=-\frac{1}{-3n}$$

Dividing by $-3n$ undoes the multiplication by $-3n$.

$$x=-\frac{1}{-3n}$$

Divide $-1$ by $-3n$.

$$x=\frac{1}{3n}$$