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Simplifying (7x + -3)(5x + -4) = 0 Reorder the terms: (-3 + 7x)(5x + -4) = 0 Reorder the terms: (-3 + 7x)(-4 + 5x) = 0 Multiply (-3 + 7x) * (-4 + 5x) (-3(-4 + 5x) + 7x * (-4 + 5x)) = 0 ((-4 * -3 + 5x * -3) + 7x * (-4 + 5x)) = 0 ((12 + -15x) + 7x * (-4 + 5x)) = 0 (12 + -15x + (-4 * 7x + 5x * 7x)) = 0 (12 + -15x + (-28x + 35x2)) = 0 Combine like terms: -15x + -28x = -43x (12 + -43x + 35x2) = 0 Solving 12 + -43x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -7x)(4 + -5x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {0.4285714286, 0.8}
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