Solve left(3x-1right)^(x+1)=3x^2

$${ \left(3x-1 \right) }^{ } (x+1)=3 { x }^{ 2 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Calculate 3x-1 to the power of 1 and get 3x-1.

$$\left(3x-1\right)\left(x+1\right)=3x^{2}$$

Use the distributive property to multiply 3x-1 by x+1 and combine like terms.

$$3x^{2}+2x-1=3x^{2}$$

Subtract 3x^{2} from both sides.

$$3x^{2}+2x-1-3x^{2}=0$$

Combine 3x^{2} and -3x^{2} to get 0.

$$2x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$2x=1$$

Divide both sides by 2.

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