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Simplifying (x + 5)(x + -4) = -14 Reorder the terms: (5 + x)(x + -4) = -14 Reorder the terms: (5 + x)(-4 + x) = -14 Multiply (5 + x) * (-4 + x) (5(-4 + x) + x(-4 + x)) = -14 ((-4 * 5 + x * 5) + x(-4 + x)) = -14 ((-20 + 5x) + x(-4 + x)) = -14 (-20 + 5x + (-4 * x + x * x)) = -14 (-20 + 5x + (-4x + x2)) = -14 Combine like terms: 5x + -4x = 1x (-20 + 1x + x2) = -14 Solving -20 + 1x + x2 = -14 Solving for variable 'x'. Reorder the terms: -20 + 14 + 1x + x2 = -14 + 14 Combine like terms: -20 + 14 = -6 -6 + 1x + x2 = -14 + 14 Combine like terms: -14 + 14 = 0 -6 + 1x + x2 = 0 Factor a trinomial. (-3 + -1x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3, 2}
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