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Simplifying (2x + -6)(-1x + 5) + -2(-1x + 5) = 0 Reorder the terms: (-6 + 2x)(-1x + 5) + -2(-1x + 5) = 0 Reorder the terms: (-6 + 2x)(5 + -1x) + -2(-1x + 5) = 0 Multiply (-6 + 2x) * (5 + -1x) (-6(5 + -1x) + 2x * (5 + -1x)) + -2(-1x + 5) = 0 ((5 * -6 + -1x * -6) + 2x * (5 + -1x)) + -2(-1x + 5) = 0 ((-30 + 6x) + 2x * (5 + -1x)) + -2(-1x + 5) = 0 (-30 + 6x + (5 * 2x + -1x * 2x)) + -2(-1x + 5) = 0 (-30 + 6x + (10x + -2x2)) + -2(-1x + 5) = 0 Combine like terms: 6x + 10x = 16x (-30 + 16x + -2x2) + -2(-1x + 5) = 0 Reorder the terms: -30 + 16x + -2x2 + -2(5 + -1x) = 0 -30 + 16x + -2x2 + (5 * -2 + -1x * -2) = 0 -30 + 16x + -2x2 + (-10 + 2x) = 0 Reorder the terms: -30 + -10 + 16x + 2x + -2x2 = 0 Combine like terms: -30 + -10 = -40 -40 + 16x + 2x + -2x2 = 0 Combine like terms: 16x + 2x = 18x -40 + 18x + -2x2 = 0 Solving -40 + 18x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 9x + -1x2) = 0 Factor a trinomial. 2((-5 + x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 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 = {5, 4}
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