Question

question
solve for all values of x by factoring.
$x^2 - 20x + 90 = -x$
answer attempt 1 out of 2
watch video
show examples
+ additional solution ⊖ no solution

Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 20x + 90 + x = 0$
$x^2 - 19x + 90 = 0$

Step2: Factor the quadratic expression

Find two numbers that multiply to $90$ and add to $-19$: $-9$ and $-10$.
$(x - 9)(x - 10) = 0$

Step3: Solve for $x$

Set each factor equal to 0:
$x - 9 = 0$ or $x - 10 = 0$

Answer:

$x=9$ and $x=10$