CPM Homework Help : INT1 Problem 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 $–2$ .

Step 1:

Solve the parentheses on the left.

Step 2:

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 $–2$ .

Step 3:

Remove $4$ from both sides.

Answer:

$x = 0$