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