Solve 3x + x ^ 2 = yx + 5 ^ x | 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

$$3x+x^{2}=yx+5^{x}$$

Solve for y

$y=-\frac{5^{x}}{x}+x+3$
$x\neq 0$

Steps for Solving Linear Equation

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

$$yx+5^{x}=3x+x^{2}$$

Subtract $5^{x}$ from both sides.

$$yx=3x+x^{2}-5^{x}$$

Reorder the terms.

$$xy=x^{2}+3x-5^{x}$$

Divide both sides by $x$.

$$\frac{xy}{x}=\frac{x^{2}+3x-5^{x}}{x}$$

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

$$y=\frac{x^{2}+3x-5^{x}}{x}$$

Divide $3x+x^{2}-5^{x}$ by $x$.

$$y=-\frac{5^{x}}{x}+x+3$$