Solve 2x(x+27)=2(x^2+8)

$$2 x ( x + 27 ) = 2 ( x ^ { 2 } + 8 )$$

Solve for x

$$x=\frac{8}{27}\approx 0.296296296$$

Steps for Solving Linear Equation

Cancel out 2 on both sides.

$$x\left(x+27\right)=x^{2}+8$$

Use the distributive property to multiply x by x+27.

$$x^{2}+27x=x^{2}+8$$

Subtract x^{2} from both sides.

$$x^{2}+27x-x^{2}=8$$

Combine x^{2} and -x^{2} to get 0.

$$27x=8$$

Divide both sides by 27.

$$x=\frac{8}{27}$$