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Simplifying (-2x + 7)(8x + 5) = 0 Reorder the terms: (7 + -2x)(8x + 5) = 0 Reorder the terms: (7 + -2x)(5 + 8x) = 0 Multiply (7 + -2x) * (5 + 8x) (7(5 + 8x) + -2x * (5 + 8x)) = 0 ((5 * 7 + 8x * 7) + -2x * (5 + 8x)) = 0 ((35 + 56x) + -2x * (5 + 8x)) = 0 (35 + 56x + (5 * -2x + 8x * -2x)) = 0 (35 + 56x + (-10x + -16x2)) = 0 Combine like terms: 56x + -10x = 46x (35 + 46x + -16x2) = 0 Solving 35 + 46x + -16x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -2x)(5 + 8x) = 0Subproblem 1
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 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 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {3.5, -0.625}
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