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Simplifying (2x + 4)(5x + 3) = 0 Reorder the terms: (4 + 2x)(5x + 3) = 0 Reorder the terms: (4 + 2x)(3 + 5x) = 0 Multiply (4 + 2x) * (3 + 5x) (4(3 + 5x) + 2x * (3 + 5x)) = 0 ((3 * 4 + 5x * 4) + 2x * (3 + 5x)) = 0 ((12 + 20x) + 2x * (3 + 5x)) = 0 (12 + 20x + (3 * 2x + 5x * 2x)) = 0 (12 + 20x + (6x + 10x2)) = 0 Combine like terms: 20x + 6x = 26x (12 + 26x + 10x2) = 0 Solving 12 + 26x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 13x + 5x2) = 0 Factor a trinomial. 2((2 + x)(3 + 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 '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-2, -0.6}
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