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Simplifying (7x + -5)(-8x + -3) = 0 Reorder the terms: (-5 + 7x)(-8x + -3) = 0 Reorder the terms: (-5 + 7x)(-3 + -8x) = 0 Multiply (-5 + 7x) * (-3 + -8x) (-5(-3 + -8x) + 7x * (-3 + -8x)) = 0 ((-3 * -5 + -8x * -5) + 7x * (-3 + -8x)) = 0 ((15 + 40x) + 7x * (-3 + -8x)) = 0 (15 + 40x + (-3 * 7x + -8x * 7x)) = 0 (15 + 40x + (-21x + -56x2)) = 0 Combine like terms: 40x + -21x = 19x (15 + 19x + -56x2) = 0 Solving 15 + 19x + -56x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -7x)(3 + 8x) = 0Subproblem 1
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 = 0.7142857143Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {0.7142857143, -0.375}
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