Solve 4x*x=64

$$4x \times x=64$$

Solve for x

$$x=4$$

$$x=-4$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$4x^{2}=64$$

Divide both sides by 4.

$$x^{2}=\frac{64}{4}$$

Divide 64 by 4 to get 16.

$$x^{2}=16$$

Take the square root of both sides of the equation.

$$x=4 x=-4$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$4x^{2}=64$$

Subtract 64 from both sides.

$$4x^{2}-64=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 4 for a, 0 for b, and -64 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-64\right)}}{2\times 4}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-64\right)}}{2\times 4}$$

Multiply -4 times 4.

$$x=\frac{0±\sqrt{-16\left(-64\right)}}{2\times 4}$$

Multiply -16 times -64.

$$x=\frac{0±\sqrt{1024}}{2\times 4}$$

Take the square root of 1024.

$$x=\frac{0±32}{2\times 4}$$

Multiply 2 times 4.

$$x=\frac{0±32}{8}$$

Now solve the equation x=\frac{0±32}{8} when ± is plus. Divide 32 by 8.

$$x=4$$

Now solve the equation x=\frac{0±32}{8} when ± is minus. Divide -32 by 8.

$$x=-4$$

The equation is now solved.

$$x=4 x=-4$$