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Simplifying 2x(x + -5) + -4(x + -5) = 0 Reorder the terms: 2x(-5 + x) + -4(x + -5) = 0 (-5 * 2x + x * 2x) + -4(x + -5) = 0 (-10x + 2x2) + -4(x + -5) = 0 Reorder the terms: -10x + 2x2 + -4(-5 + x) = 0 -10x + 2x2 + (-5 * -4 + x * -4) = 0 -10x + 2x2 + (20 + -4x) = 0 Reorder the terms: 20 + -10x + -4x + 2x2 = 0 Combine like terms: -10x + -4x = -14x 20 + -14x + 2x2 = 0 Solving 20 + -14x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -7x + x2) = 0 Factor a trinomial. 2((2 + -1x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = 2Subproblem 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 = {2, 5}
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