How to solve 4x2-12xy+9y2=0

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 4x2-12xy+9y2=0 | Equatix

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Question

$$4x2-12xy+9y2=0$$

Solve for x (complex solution)

$\left\{\begin{matrix}x=\frac{4x_{2}+9y_{2}}{12y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&x_{2}=-\frac{9y_{2}}{4}\text{ and }y=0\end{matrix}\right.$

Steps for Solving Linear Equation

Subtract $4x_{2}$ from both sides. Anything subtracted from zero gives its negation.

$$-12xy+9y_{2}=-4x_{2}$$

Subtract $9y_{2}$ from both sides.

$$-12xy=-4x_{2}-9y_{2}$$

The equation is in standard form.

$$\left(-12y\right)x=-4x_{2}-9y_{2}$$

Divide both sides by $-12y$.

$$\frac{\left(-12y\right)x}{-12y}=\frac{-4x_{2}-9y_{2}}{-12y}$$

Dividing by $-12y$ undoes the multiplication by $-12y$.

$$x=\frac{-4x_{2}-9y_{2}}{-12y}$$

Divide $-4x_{2}-9y_{2}$ by $-12y$.

$$x=\frac{4x_{2}+9y_{2}}{12y}$$

Show Solution

Solve for x

$\left\{\begin{matrix}x=\frac{4x_{2}+9y_{2}}{12y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&x_{2}=-\frac{9y_{2}}{4}\text{ and }y=0\end{matrix}\right.$

Steps for Solving Linear Equation

Subtract $4x_{2}$ from both sides. Anything subtracted from zero gives its negation.

$$-12xy+9y_{2}=-4x_{2}$$

Subtract $9y_{2}$ from both sides.

$$-12xy=-4x_{2}-9y_{2}$$

The equation is in standard form.

$$\left(-12y\right)x=-4x_{2}-9y_{2}$$

Divide both sides by $-12y$.

$$\frac{\left(-12y\right)x}{-12y}=\frac{-4x_{2}-9y_{2}}{-12y}$$

Dividing by $-12y$ undoes the multiplication by $-12y$.

$$x=\frac{-4x_{2}-9y_{2}}{-12y}$$

Divide $-4x_{2}-9y_{2}$ by $-12y$.

$$x=\frac{4x_{2}+9y_{2}}{12y}$$

Show Solution

Solve for x_2

$x_{2}=3xy-\frac{9y_{2}}{4}$

Steps for Solving Linear Equation

Add $12xy$ to both sides. Anything plus zero gives itself.

$$4x_{2}+9y_{2}=12xy$$

Subtract $9y_{2}$ from both sides.

$$4x_{2}=12xy-9y_{2}$$

Divide both sides by $4$.

$$\frac{4x_{2}}{4}=\frac{12xy-9y_{2}}{4}$$

Dividing by $4$ undoes the multiplication by $4$.

$$x_{2}=\frac{12xy-9y_{2}}{4}$$

Divide $12xy-9y_{2}$ by $4$.

$$x_{2}=3xy-\frac{9y_{2}}{4}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

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Linear Algebra

Chemistry

Example

Question

Solve for x (complex solution)

Steps for Solving Linear Equation

Solve for x

Steps for Solving Linear Equation

Solve for x_2

Steps for Solving Linear Equation