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Simplifying (8x + 9)(2x + 4) = 0 Reorder the terms: (9 + 8x)(2x + 4) = 0 Reorder the terms: (9 + 8x)(4 + 2x) = 0 Multiply (9 + 8x) * (4 + 2x) (9(4 + 2x) + 8x * (4 + 2x)) = 0 ((4 * 9 + 2x * 9) + 8x * (4 + 2x)) = 0 ((36 + 18x) + 8x * (4 + 2x)) = 0 (36 + 18x + (4 * 8x + 2x * 8x)) = 0 (36 + 18x + (32x + 16x2)) = 0 Combine like terms: 18x + 32x = 50x (36 + 50x + 16x2) = 0 Solving 36 + 50x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 25x + 8x2) = 0 Factor a trinomial. 2((2 + x)(9 + 8x)) = 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 '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Solution
x = {-2, -1.125}
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