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Simplifying (x + 4)(x + -3) + -18 = 0 Reorder the terms: (4 + x)(x + -3) + -18 = 0 Reorder the terms: (4 + x)(-3 + x) + -18 = 0 Multiply (4 + x) * (-3 + x) (4(-3 + x) + x(-3 + x)) + -18 = 0 ((-3 * 4 + x * 4) + x(-3 + x)) + -18 = 0 ((-12 + 4x) + x(-3 + x)) + -18 = 0 (-12 + 4x + (-3 * x + x * x)) + -18 = 0 (-12 + 4x + (-3x + x2)) + -18 = 0 Combine like terms: 4x + -3x = 1x (-12 + 1x + x2) + -18 = 0 Reorder the terms: -12 + -18 + 1x + x2 = 0 Combine like terms: -12 + -18 = -30 -30 + 1x + x2 = 0 Solving -30 + 1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = {-6, 5}
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