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Simplifying 4(x + -2)(x + 5) = 0 Reorder the terms: 4(-2 + x)(x + 5) = 0 Reorder the terms: 4(-2 + x)(5 + x) = 0 Multiply (-2 + x) * (5 + x) 4(-2(5 + x) + x(5 + x)) = 0 4((5 * -2 + x * -2) + x(5 + x)) = 0 4((-10 + -2x) + x(5 + x)) = 0 4(-10 + -2x + (5 * x + x * x)) = 0 4(-10 + -2x + (5x + x2)) = 0 Combine like terms: -2x + 5x = 3x 4(-10 + 3x + x2) = 0 (-10 * 4 + 3x * 4 + x2 * 4) = 0 (-40 + 12x + 4x2) = 0 Solving -40 + 12x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + 3x + x2) = 0 Factor a trinomial. 4((-5 + -1x)(2 + -1x)) = 0 Ignore the factor 4.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 '(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 = 2Solution
x = {-5, 2}
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