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Simplifying (-5x + -40)(x + 3) = 0 Reorder the terms: (-40 + -5x)(x + 3) = 0 Reorder the terms: (-40 + -5x)(3 + x) = 0 Multiply (-40 + -5x) * (3 + x) (-40(3 + x) + -5x * (3 + x)) = 0 ((3 * -40 + x * -40) + -5x * (3 + x)) = 0 ((-120 + -40x) + -5x * (3 + x)) = 0 (-120 + -40x + (3 * -5x + x * -5x)) = 0 (-120 + -40x + (-15x + -5x2)) = 0 Combine like terms: -40x + -15x = -55x (-120 + -55x + -5x2) = 0 Solving -120 + -55x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-5'. -5(24 + 11x + x2) = 0 Factor a trinomial. -5((8 + x)(3 + x)) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-8, -3}
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