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Simplifying (2x + 10)(9x + 8) = 0 Reorder the terms: (10 + 2x)(9x + 8) = 0 Reorder the terms: (10 + 2x)(8 + 9x) = 0 Multiply (10 + 2x) * (8 + 9x) (10(8 + 9x) + 2x * (8 + 9x)) = 0 ((8 * 10 + 9x * 10) + 2x * (8 + 9x)) = 0 ((80 + 90x) + 2x * (8 + 9x)) = 0 (80 + 90x + (8 * 2x + 9x * 2x)) = 0 (80 + 90x + (16x + 18x2)) = 0 Combine like terms: 90x + 16x = 106x (80 + 106x + 18x2) = 0 Solving 80 + 106x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 53x + 9x2) = 0 Factor a trinomial. 2((5 + x)(8 + 9x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Solution
x = {-5, -0.8888888889}
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