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Simplifying (5x + 6)(4x + 2) = 0 Reorder the terms: (6 + 5x)(4x + 2) = 0 Reorder the terms: (6 + 5x)(2 + 4x) = 0 Multiply (6 + 5x) * (2 + 4x) (6(2 + 4x) + 5x * (2 + 4x)) = 0 ((2 * 6 + 4x * 6) + 5x * (2 + 4x)) = 0 ((12 + 24x) + 5x * (2 + 4x)) = 0 (12 + 24x + (2 * 5x + 4x * 5x)) = 0 (12 + 24x + (10x + 20x2)) = 0 Combine like terms: 24x + 10x = 34x (12 + 34x + 20x2) = 0 Solving 12 + 34x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 17x + 10x2) = 0 Factor a trinomial. 2((6 + 5x)(1 + 2x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.2Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-1.2, -0.5}
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