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Simplifying (2x + -8)(5x + 5) = 0 Reorder the terms: (-8 + 2x)(5x + 5) = 0 Reorder the terms: (-8 + 2x)(5 + 5x) = 0 Multiply (-8 + 2x) * (5 + 5x) (-8(5 + 5x) + 2x * (5 + 5x)) = 0 ((5 * -8 + 5x * -8) + 2x * (5 + 5x)) = 0 ((-40 + -40x) + 2x * (5 + 5x)) = 0 (-40 + -40x + (5 * 2x + 5x * 2x)) = 0 (-40 + -40x + (10x + 10x2)) = 0 Combine like terms: -40x + 10x = -30x (-40 + -30x + 10x2) = 0 Solving -40 + -30x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(-4 + -3x + x2) = 0 Factor a trinomial. 10((-1 + -1x)(4 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 4}
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