Question

solve $5x^2 - 20x = -15$ by factoring.
enter your answers as a list separated by a comma
$x =$
question help: video

Explanation:

Step1: Rewrite to standard form

Add 15 to both sides:
$$5x^2 - 20x + 15 = 0$$

Step2: Factor out GCF

Factor 5 from all terms:
$$5(x^2 - 4x + 3) = 0$$

Step3: Factor quadratic trinomial

Find factors of 3 that sum to -4:
$$5(x-1)(x-3) = 0$$

Step4: Solve for x

Set each factor equal to 0:
$x-1=0 \implies x=1$, $x-3=0 \implies x=3$

Answer:

1, 3