Solve 64*left(03-xright)^2=2x^2

$$64 \times { \left(03-x \right) }^{ 2 } =2 { x }^{ 2 }$$

Solve for x

$$x=0$$

Steps by Finding Square Root

Multiply 0 and 3 to get 0.

$$64\left(0-x\right)^{2}=2x^{2}$$

Anything plus zero gives itself.

$$64\left(-x\right)^{2}=2x^{2}$$

Expand \left(-x\right)^{2}.

$$64\left(-1\right)^{2}x^{2}=2x^{2}$$

Calculate -1 to the power of 2 and get 1.

$$64\times 1x^{2}=2x^{2}$$

Multiply 64 and 1 to get 64.

$$64x^{2}=2x^{2}$$

Subtract 2x^{2} from both sides.

$$64x^{2}-2x^{2}=0$$

Combine 64x^{2} and -2x^{2} to get 62x^{2}.

$$62x^{2}=0$$

Divide both sides by 62. Zero divided by any non-zero number gives zero.

$$x^{2}=0$$

Take the square root of both sides of the equation.

$$x=0 x=0$$

The equation is now solved. Solutions are the same.

$$x=0$$

Steps Using the Quadratic Formula

Multiply 0 and 3 to get 0.

$$64\left(0-x\right)^{2}=2x^{2}$$

Anything plus zero gives itself.

$$64\left(-x\right)^{2}=2x^{2}$$

Expand \left(-x\right)^{2}.

$$64\left(-1\right)^{2}x^{2}=2x^{2}$$

Calculate -1 to the power of 2 and get 1.

$$64\times 1x^{2}=2x^{2}$$

Multiply 64 and 1 to get 64.

$$64x^{2}=2x^{2}$$

Subtract 2x^{2} from both sides.

$$64x^{2}-2x^{2}=0$$

Combine 64x^{2} and -2x^{2} to get 62x^{2}.

$$62x^{2}=0$$

Divide both sides by 62. Zero divided by any non-zero number gives zero.

$$x^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$x=\frac{0±0}{2}$$

Divide 0 by 2.

$$x=0$$