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Simplifying (4x + -8)(x + -5) = 0 Reorder the terms: (-8 + 4x)(x + -5) = 0 Reorder the terms: (-8 + 4x)(-5 + x) = 0 Multiply (-8 + 4x) * (-5 + x) (-8(-5 + x) + 4x * (-5 + x)) = 0 ((-5 * -8 + x * -8) + 4x * (-5 + x)) = 0 ((40 + -8x) + 4x * (-5 + x)) = 0 (40 + -8x + (-5 * 4x + x * 4x)) = 0 (40 + -8x + (-20x + 4x2)) = 0 Combine like terms: -8x + -20x = -28x (40 + -28x + 4x2) = 0 Solving 40 + -28x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(10 + -7x + x2) = 0 Factor a trinomial. 4((2 + -1x)(5 + -1x)) = 0 Ignore the factor 4.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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