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 = submit answer

Explanation:

Step1: Rearrange to standard quadratic form

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

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 $x=8$