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Simplifying (7x + -5)(8x + 6) = 0 Reorder the terms: (-5 + 7x)(8x + 6) = 0 Reorder the terms: (-5 + 7x)(6 + 8x) = 0 Multiply (-5 + 7x) * (6 + 8x) (-5(6 + 8x) + 7x * (6 + 8x)) = 0 ((6 * -5 + 8x * -5) + 7x * (6 + 8x)) = 0 ((-30 + -40x) + 7x * (6 + 8x)) = 0 (-30 + -40x + (6 * 7x + 8x * 7x)) = 0 (-30 + -40x + (42x + 56x2)) = 0 Combine like terms: -40x + 42x = 2x (-30 + 2x + 56x2) = 0 Solving -30 + 2x + 56x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + x + 28x2) = 0 Factor a trinomial. 2((-3 + -4x)(5 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, 0.7142857143}
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