### Home > INT1 > Chapter A > Lesson A.1.9 > ProblemA-97

A-97.

Paris is trying to solve the equation $3x^{2} − \left(2x − 4\right) = 3 + 3x^{2} + 1$. Her work is partially recorded below. Copy her table and fill in her missing work to solve for $x$.

 Left Expression Right Expression Explanation $3x^{2} − \left(2x − 4\right)$ $3 + 3x^{2} + 1$ Starting expressions. $3x^{2} + \left(−2x\right) + 4$ $3 + 3x^{2} + 1$ Remove $3x^{2}$ from both sides. $−2x$ $0$ Divide both sides by $–2$.

Solve the parentheses on the left.

 Left Expression Right Expression Explanation $3x^{2} − \left(2x − 4\right)$ $3 + 3x^{2} + 1$ Starting expressions. $3x^{2} + \left(−2x\right) + 4$ $3 + 3x^{2} + 1$ $\color{green}{-2x+4}$ $\color{green}{3+1}$ Remove $3x^{2}$ from both sides. $−2x$ $0$ Divide both sides by $–2$.

Remove $4$ from both sides.

$x = 0$