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Simplifying (7x + 5)(8x + 8) = 0 Reorder the terms: (5 + 7x)(8x + 8) = 0 Reorder the terms: (5 + 7x)(8 + 8x) = 0 Multiply (5 + 7x) * (8 + 8x) (5(8 + 8x) + 7x * (8 + 8x)) = 0 ((8 * 5 + 8x * 5) + 7x * (8 + 8x)) = 0 ((40 + 40x) + 7x * (8 + 8x)) = 0 (40 + 40x + (8 * 7x + 8x * 7x)) = 0 (40 + 40x + (56x + 56x2)) = 0 Combine like terms: 40x + 56x = 96x (40 + 96x + 56x2) = 0 Solving 40 + 96x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(5 + 12x + 7x2) = 0 Factor a trinomial. 8((1 + x)(5 + 7x)) = 0 Ignore the factor 8.Subproblem 1
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 = -1Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143Solution
x = {-1, -0.7142857143}
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