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Simplifying (4x + 4)(9x + 6) = 0 Reorder the terms: (4 + 4x)(9x + 6) = 0 Reorder the terms: (4 + 4x)(6 + 9x) = 0 Multiply (4 + 4x) * (6 + 9x) (4(6 + 9x) + 4x * (6 + 9x)) = 0 ((6 * 4 + 9x * 4) + 4x * (6 + 9x)) = 0 ((24 + 36x) + 4x * (6 + 9x)) = 0 (24 + 36x + (6 * 4x + 9x * 4x)) = 0 (24 + 36x + (24x + 36x2)) = 0 Combine like terms: 36x + 24x = 60x (24 + 60x + 36x2) = 0 Solving 24 + 60x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(2 + 5x + 3x2) = 0 Factor a trinomial. 12((1 + x)(2 + 3x)) = 0 Ignore the factor 12.Subproblem 1
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 = -1Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-1, -0.6666666667}
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