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Simplifying (x + 4)(x + -13) = 0 Reorder the terms: (4 + x)(x + -13) = 0 Reorder the terms: (4 + x)(-13 + x) = 0 Multiply (4 + x) * (-13 + x) (4(-13 + x) + x(-13 + x)) = 0 ((-13 * 4 + x * 4) + x(-13 + x)) = 0 ((-52 + 4x) + x(-13 + x)) = 0 (-52 + 4x + (-13 * x + x * x)) = 0 (-52 + 4x + (-13x + x2)) = 0 Combine like terms: 4x + -13x = -9x (-52 + -9x + x2) = 0 Solving -52 + -9x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {-4, 13}
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