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10) $4x^2 - 3 = 2x^2 - 3$

Question

  1. $4x^2 - 3 = 2x^2 - 3$

Explanation:

Step1: Subtract $2x^2$ from both sides

$4x^2 - 2x^2 - 3 = 2x^2 - 2x^2 - 3$
$2x^2 - 3 = -3$

Step2: Add 3 to both sides

$2x^2 - 3 + 3 = -3 + 3$
$2x^2 = 0$

Step3: Divide by 2 on both sides

$\frac{2x^2}{2} = \frac{0}{2}$
$x^2 = 0$

Step4: Solve for x

$x = \sqrt{0}$

Answer:

$x = 0$