Question

which value of $x$ is the solution to this equation?
$5x^2 = 30x - 45$
a $x = 3$
b $x = -3$
c $x = -5$
d $x = 5$

Explanation:

Step1: Rearrange to standard quadratic form

$5x^2 - 30x + 45 = 0$

Step2: Divide by common factor 5

$x^2 - 6x + 9 = 0$

Step3: Factor the quadratic

$(x - 3)^2 = 0$

Step4: Solve for x

$x - 3 = 0 \implies x = 3$

Answer:

A. $x = 3$