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Simplifying (3x + 15)(4 + -1x) = 0 Reorder the terms: (15 + 3x)(4 + -1x) = 0 Multiply (15 + 3x) * (4 + -1x) (15(4 + -1x) + 3x * (4 + -1x)) = 0 ((4 * 15 + -1x * 15) + 3x * (4 + -1x)) = 0 ((60 + -15x) + 3x * (4 + -1x)) = 0 (60 + -15x + (4 * 3x + -1x * 3x)) = 0 (60 + -15x + (12x + -3x2)) = 0 Combine like terms: -15x + 12x = -3x (60 + -3x + -3x2) = 0 Solving 60 + -3x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(20 + -1x + -1x2) = 0 Factor a trinomial. 3((4 + -1x)(5 + x)) = 0 Ignore the factor 3.Subproblem 1
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 = 4Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {4, -5}
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