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Simplifying (5x + 6)(4x + 6) = 0 Reorder the terms: (6 + 5x)(4x + 6) = 0 Reorder the terms: (6 + 5x)(6 + 4x) = 0 Multiply (6 + 5x) * (6 + 4x) (6(6 + 4x) + 5x * (6 + 4x)) = 0 ((6 * 6 + 4x * 6) + 5x * (6 + 4x)) = 0 ((36 + 24x) + 5x * (6 + 4x)) = 0 (36 + 24x + (6 * 5x + 4x * 5x)) = 0 (36 + 24x + (30x + 20x2)) = 0 Combine like terms: 24x + 30x = 54x (36 + 54x + 20x2) = 0 Solving 36 + 54x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 27x + 10x2) = 0 Factor a trinomial. 2((3 + 2x)(6 + 5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-1.5, -1.2}
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