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Simplifying (5x + -3)(7x + -5) = 0 Reorder the terms: (-3 + 5x)(7x + -5) = 0 Reorder the terms: (-3 + 5x)(-5 + 7x) = 0 Multiply (-3 + 5x) * (-5 + 7x) (-3(-5 + 7x) + 5x * (-5 + 7x)) = 0 ((-5 * -3 + 7x * -3) + 5x * (-5 + 7x)) = 0 ((15 + -21x) + 5x * (-5 + 7x)) = 0 (15 + -21x + (-5 * 5x + 7x * 5x)) = 0 (15 + -21x + (-25x + 35x2)) = 0 Combine like terms: -21x + -25x = -46x (15 + -46x + 35x2) = 0 Solving 15 + -46x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(5 + -7x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 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 = {0.6, 0.7142857143}
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