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Simplifying (x + 6)(x + -2) = 20 Reorder the terms: (6 + x)(x + -2) = 20 Reorder the terms: (6 + x)(-2 + x) = 20 Multiply (6 + x) * (-2 + x) (6(-2 + x) + x(-2 + x)) = 20 ((-2 * 6 + x * 6) + x(-2 + x)) = 20 ((-12 + 6x) + x(-2 + x)) = 20 (-12 + 6x + (-2 * x + x * x)) = 20 (-12 + 6x + (-2x + x2)) = 20 Combine like terms: 6x + -2x = 4x (-12 + 4x + x2) = 20 Solving -12 + 4x + x2 = 20 Solving for variable 'x'. Reorder the terms: -12 + -20 + 4x + x2 = 20 + -20 Combine like terms: -12 + -20 = -32 -32 + 4x + x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -32 + 4x + x2 = 0 Factor a trinomial. (-8 + -1x)(4 + -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 '(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 = 4Solution
x = {-8, 4}
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