Solve 5x^2=0.00000000008

$$5 { x }^{ 2 } =0.00000000008$$

Solve for x

$$x=0.000004$$

$$x=-0.000004$$

Steps by Finding Square Root

Divide both sides by 5.

$$x^{2}=\frac{0.00000000008}{5}$$

Expand \frac{0.00000000008}{5} by multiplying both numerator and the denominator by 100000000000.

$$x^{2}=\frac{8}{500000000000}$$

Reduce the fraction \frac{8}{500000000000} to lowest terms by extracting and canceling out 8.

$$x^{2}=\frac{1}{62500000000}$$

Take the square root of both sides of the equation.

$$x=\frac{1}{250000} x=-\frac{1}{250000}$$

Steps Using the Quadratic Formula

Divide both sides by 5.

$$x^{2}=\frac{0.00000000008}{5}$$

Expand \frac{0.00000000008}{5} by multiplying both numerator and the denominator by 100000000000.

$$x^{2}=\frac{8}{500000000000}$$

Reduce the fraction \frac{8}{500000000000} to lowest terms by extracting and canceling out 8.

$$x^{2}=\frac{1}{62500000000}$$

Subtract \frac{1}{62500000000} from both sides.

$$x^{2}-\frac{1}{62500000000}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{1}{62500000000} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{62500000000}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{62500000000}\right)}}{2}$$

Multiply -4 times -\frac{1}{62500000000}.

$$x=\frac{0±\sqrt{\frac{1}{15625000000}}}{2}$$

Take the square root of \frac{1}{15625000000}.

$$x=\frac{0±\frac{1}{125000}}{2}$$

Now solve the equation x=\frac{0±\frac{1}{125000}}{2} when ± is plus.

$$x=\frac{1}{250000}$$

Now solve the equation x=\frac{0±\frac{1}{125000}}{2} when ± is minus.

$$x=-\frac{1}{250000}$$

The equation is now solved.

$$x=\frac{1}{250000} x=-\frac{1}{250000}$$