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Simplifying (6x + 5)(8x + 6) = 0 Reorder the terms: (5 + 6x)(8x + 6) = 0 Reorder the terms: (5 + 6x)(6 + 8x) = 0 Multiply (5 + 6x) * (6 + 8x) (5(6 + 8x) + 6x * (6 + 8x)) = 0 ((6 * 5 + 8x * 5) + 6x * (6 + 8x)) = 0 ((30 + 40x) + 6x * (6 + 8x)) = 0 (30 + 40x + (6 * 6x + 8x * 6x)) = 0 (30 + 40x + (36x + 48x2)) = 0 Combine like terms: 40x + 36x = 76x (30 + 76x + 48x2) = 0 Solving 30 + 76x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 38x + 24x2) = 0 Factor a trinomial. 2((5 + 6x)(3 + 4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-0.8333333333, -0.75}
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