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Simplifying (2x + -10)(x + -6) = 0 Reorder the terms: (-10 + 2x)(x + -6) = 0 Reorder the terms: (-10 + 2x)(-6 + x) = 0 Multiply (-10 + 2x) * (-6 + x) (-10(-6 + x) + 2x * (-6 + x)) = 0 ((-6 * -10 + x * -10) + 2x * (-6 + x)) = 0 ((60 + -10x) + 2x * (-6 + x)) = 0 (60 + -10x + (-6 * 2x + x * 2x)) = 0 (60 + -10x + (-12x + 2x2)) = 0 Combine like terms: -10x + -12x = -22x (60 + -22x + 2x2) = 0 Solving 60 + -22x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -11x + x2) = 0 Factor a trinomial. 2((5 + -1x)(6 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 5Subproblem 2
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 = 6Solution
x = {5, 6}
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