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Simplifying (x + -1)(x + 4) = 36 Reorder the terms: (-1 + x)(x + 4) = 36 Reorder the terms: (-1 + x)(4 + x) = 36 Multiply (-1 + x) * (4 + x) (-1(4 + x) + x(4 + x)) = 36 ((4 * -1 + x * -1) + x(4 + x)) = 36 ((-4 + -1x) + x(4 + x)) = 36 (-4 + -1x + (4 * x + x * x)) = 36 (-4 + -1x + (4x + x2)) = 36 Combine like terms: -1x + 4x = 3x (-4 + 3x + x2) = 36 Solving -4 + 3x + x2 = 36 Solving for variable 'x'. Reorder the terms: -4 + -36 + 3x + x2 = 36 + -36 Combine like terms: -4 + -36 = -40 -40 + 3x + x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -40 + 3x + x2 = 0 Factor a trinomial. (-8 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-8, 5}
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