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Simplifying (4x + 56)(8x + 8) = 0 Reorder the terms: (56 + 4x)(8x + 8) = 0 Reorder the terms: (56 + 4x)(8 + 8x) = 0 Multiply (56 + 4x) * (8 + 8x) (56(8 + 8x) + 4x * (8 + 8x)) = 0 ((8 * 56 + 8x * 56) + 4x * (8 + 8x)) = 0 ((448 + 448x) + 4x * (8 + 8x)) = 0 (448 + 448x + (8 * 4x + 8x * 4x)) = 0 (448 + 448x + (32x + 32x2)) = 0 Combine like terms: 448x + 32x = 480x (448 + 480x + 32x2) = 0 Solving 448 + 480x + 32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '32'. 32(14 + 15x + x2) = 0 Factor a trinomial. 32((14 + x)(1 + x)) = 0 Ignore the factor 32.Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 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 = {-14, -1}
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