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Simplifying (4x + 4)(8x + 10) = 0 Reorder the terms: (4 + 4x)(8x + 10) = 0 Reorder the terms: (4 + 4x)(10 + 8x) = 0 Multiply (4 + 4x) * (10 + 8x) (4(10 + 8x) + 4x * (10 + 8x)) = 0 ((10 * 4 + 8x * 4) + 4x * (10 + 8x)) = 0 ((40 + 32x) + 4x * (10 + 8x)) = 0 (40 + 32x + (10 * 4x + 8x * 4x)) = 0 (40 + 32x + (40x + 32x2)) = 0 Combine like terms: 32x + 40x = 72x (40 + 72x + 32x2) = 0 Solving 40 + 72x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(5 + 9x + 4x2) = 0 Factor a trinomial. 8((5 + 4x)(1 + x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.25, -1}
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