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Simplifying (8x + 5)(3x + 3) = 0 Reorder the terms: (5 + 8x)(3x + 3) = 0 Reorder the terms: (5 + 8x)(3 + 3x) = 0 Multiply (5 + 8x) * (3 + 3x) (5(3 + 3x) + 8x * (3 + 3x)) = 0 ((3 * 5 + 3x * 5) + 8x * (3 + 3x)) = 0 ((15 + 15x) + 8x * (3 + 3x)) = 0 (15 + 15x + (3 * 8x + 3x * 8x)) = 0 (15 + 15x + (24x + 24x2)) = 0 Combine like terms: 15x + 24x = 39x (15 + 39x + 24x2) = 0 Solving 15 + 39x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(5 + 13x + 8x2) = 0 Factor a trinomial. 3((1 + x)(5 + 8x)) = 0 Ignore the factor 3.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 '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 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 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {-1, -0.625}
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