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