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Simplifying (5x + 2)(4x + 6) = 0 Reorder the terms: (2 + 5x)(4x + 6) = 0 Reorder the terms: (2 + 5x)(6 + 4x) = 0 Multiply (2 + 5x) * (6 + 4x) (2(6 + 4x) + 5x * (6 + 4x)) = 0 ((6 * 2 + 4x * 2) + 5x * (6 + 4x)) = 0 ((12 + 8x) + 5x * (6 + 4x)) = 0 (12 + 8x + (6 * 5x + 4x * 5x)) = 0 (12 + 8x + (30x + 20x2)) = 0 Combine like terms: 8x + 30x = 38x (12 + 38x + 20x2) = 0 Solving 12 + 38x + 20x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 19x + 10x2) = 0 Factor a trinomial. 2((3 + 2x)(2 + 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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-1.5, -0.4}
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