Solve x/y+3=y | Microsoft Math Solver

Solve for x

x=y\left(y+3\right)

y\neq -3

Solution Steps

\frac { x } { y + 3 } = y

Multiply both sides of the equation by y+3.

x=y\left(y+3\right)

Use the distributive property to multiply y by y+3.

x=y^{2}+3y

Solve for y (complex solution)

\left\{\begin{matrix}\\y=\frac{\sqrt{4x+9}-3}{2}\text{, }&\text{unconditionally}\\y=\frac{-\sqrt{4x+9}-3}{2}\text{, }&x\neq 0\end{matrix}\right.

Solve for y

\left\{\begin{matrix}y=\frac{\sqrt{4x+9}-3}{2}\text{, }&x\geq -\frac{9}{4}\\y=\frac{-\sqrt{4x+9}-3}{2}\text{, }&x\neq 0\text{ and }x\geq -\frac{9}{4}\end{matrix}\right.

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Algebra

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\frac { x } { y + 3 } = y

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x=y\left(y+3\right)

Multiply both sides of the equation by y+3.

x=y^{2}+3y

Use the distributive property to multiply y by y+3.

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