Question

question
solve the following quadratic equation for all values of $x$ in simplest form.
$3(x^2 - 7) + 4 = 4$
answer attempt 1 out of 2
additional solution $\bigcirc$ no solution
$x = $
$pm$ $sqrt{}$

Explanation:

Step1: Simplify the equation

$3(x^2 - 7) + 4 = 4$
Subtract 4 from both sides:
$3(x^2 - 7) = 0$

Step2: Isolate the quadratic term

Divide both sides by 3:
$x^2 - 7 = 0$

Step3: Solve for $x^2$

Add 7 to both sides:
$x^2 = 7$

Step4: Find square roots

Take square root of both sides:
$x = \pm\sqrt{7}$

Answer:

$x = \sqrt{7}$ and $x = -\sqrt{7}$