Question

question
solve for all values of x by factoring.

x² - 15x + 7 = -6x - 1

answer attempt 1 out of 2

⊕ additional solution ⊖ no solution

x =
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Explanation:

Step1: Rearrange to standard quadratic form

$x^2 - 15x + 7 + 6x + 1 = 0$
Simplify to: $x^2 - 9x + 8 = 0$

Step2: Factor the quadratic expression

Find two numbers that multiply to 8 and add to -9: -1 and -8.
$(x - 1)(x - 8) = 0$

Step3: Solve for $x$ using zero product rule

Set each factor equal to 0:
$x - 1 = 0$ or $x - 8 = 0$

Answer:

$x = 1$ and $x = 8$