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Simplifying (3x + 15)(x + 1) = 0 Reorder the terms: (15 + 3x)(x + 1) = 0 Reorder the terms: (15 + 3x)(1 + x) = 0 Multiply (15 + 3x) * (1 + x) (15(1 + x) + 3x * (1 + x)) = 0 ((1 * 15 + x * 15) + 3x * (1 + x)) = 0 ((15 + 15x) + 3x * (1 + x)) = 0 (15 + 15x + (1 * 3x + x * 3x)) = 0 (15 + 15x + (3x + 3x2)) = 0 Combine like terms: 15x + 3x = 18x (15 + 18x + 3x2) = 0 Solving 15 + 18x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 6x + x2) = 0 Factor a trinomial. 3((5 + x)(1 + x)) = 0 Ignore the factor 3.Subproblem 1
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 = -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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