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Simplifying (2x + 4)(5x + 6) = 0 Reorder the terms: (4 + 2x)(5x + 6) = 0 Reorder the terms: (4 + 2x)(6 + 5x) = 0 Multiply (4 + 2x) * (6 + 5x) (4(6 + 5x) + 2x * (6 + 5x)) = 0 ((6 * 4 + 5x * 4) + 2x * (6 + 5x)) = 0 ((24 + 20x) + 2x * (6 + 5x)) = 0 (24 + 20x + (6 * 2x + 5x * 2x)) = 0 (24 + 20x + (12x + 10x2)) = 0 Combine like terms: 20x + 12x = 32x (24 + 32x + 10x2) = 0 Solving 24 + 32x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 16x + 5x2) = 0 Factor a trinomial. 2((2 + x)(6 + 5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -1.2}
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