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8a. $8x = x^2$

Question

8a. $8x = x^2$

Explanation:

Step1: Rearrange to standard quadratic form

Subtract $8x$ from both sides.
$x^2 - 8x = 0$

Step2: Factor the quadratic expression

Factor out the common term $x$.
$x(x - 8) = 0$

Step3: Solve for $x$

Set each factor equal to 0 and solve.
$x = 0$ or $x - 8 = 0 \implies x = 8$

Answer:

$x = 0$ and $x = 8$