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Simplifying (x + -13)(x + 4) = x + -13 Reorder the terms: (-13 + x)(x + 4) = x + -13 Reorder the terms: (-13 + x)(4 + x) = x + -13 Multiply (-13 + x) * (4 + x) (-13(4 + x) + x(4 + x)) = x + -13 ((4 * -13 + x * -13) + x(4 + x)) = x + -13 ((-52 + -13x) + x(4 + x)) = x + -13 (-52 + -13x + (4 * x + x * x)) = x + -13 (-52 + -13x + (4x + x2)) = x + -13 Combine like terms: -13x + 4x = -9x (-52 + -9x + x2) = x + -13 Reorder the terms: -52 + -9x + x2 = -13 + x Solving -52 + -9x + x2 = -13 + x Solving for variable 'x'. Reorder the terms: -52 + 13 + -9x + -1x + x2 = -13 + x + 13 + -1x Combine like terms: -52 + 13 = -39 -39 + -9x + -1x + x2 = -13 + x + 13 + -1x Combine like terms: -9x + -1x = -10x -39 + -10x + x2 = -13 + x + 13 + -1x Reorder the terms: -39 + -10x + x2 = -13 + 13 + x + -1x Combine like terms: -13 + 13 = 0 -39 + -10x + x2 = 0 + x + -1x -39 + -10x + x2 = x + -1x Combine like terms: x + -1x = 0 -39 + -10x + x2 = 0 Factor a trinomial. (-3 + -1x)(13 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 13}
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