Solve 8x^2=18left(18+14right)

$$8 { x }^{ 2 } = 18 \left( 18+14 \right)$$

Solve for x

$$x=6\sqrt{2}\approx 8.485281374$$

$$x=-6\sqrt{2}\approx -8.485281374$$

Steps by Finding Square Root

Add 18 and 14 to get 32.

$$8x^{2}=18\times 32$$

Multiply 18 and 32 to get 576.

$$8x^{2}=576$$

Divide both sides by 8.

$$x^{2}=\frac{576}{8}$$

Divide 576 by 8 to get 72.

$$x^{2}=72$$

Take the square root of both sides of the equation.

$$x=6\sqrt{2} x=-6\sqrt{2}$$

Steps Using the Quadratic Formula

Add 18 and 14 to get 32.

$$8x^{2}=18\times 32$$

Multiply 18 and 32 to get 576.

$$8x^{2}=576$$

Subtract 576 from both sides.

$$8x^{2}-576=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 8 for a, 0 for b, and -576 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 8\left(-576\right)}}{2\times 8}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 8\left(-576\right)}}{2\times 8}$$

Multiply -4 times 8.

$$x=\frac{0±\sqrt{-32\left(-576\right)}}{2\times 8}$$

Multiply -32 times -576.

$$x=\frac{0±\sqrt{18432}}{2\times 8}$$

Take the square root of 18432.

$$x=\frac{0±96\sqrt{2}}{2\times 8}$$

Multiply 2 times 8.

$$x=\frac{0±96\sqrt{2}}{16}$$

Now solve the equation x=\frac{0±96\sqrt{2}}{16} when ± is plus.

$$x=6\sqrt{2}$$

Now solve the equation x=\frac{0±96\sqrt{2}}{16} when ± is minus.

$$x=-6\sqrt{2}$$

The equation is now solved.

$$x=6\sqrt{2} x=-6\sqrt{2}$$