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Simplifying (7x + -9)(5x + 1) = 0 Reorder the terms: (-9 + 7x)(5x + 1) = 0 Reorder the terms: (-9 + 7x)(1 + 5x) = 0 Multiply (-9 + 7x) * (1 + 5x) (-9(1 + 5x) + 7x * (1 + 5x)) = 0 ((1 * -9 + 5x * -9) + 7x * (1 + 5x)) = 0 ((-9 + -45x) + 7x * (1 + 5x)) = 0 (-9 + -45x + (1 * 7x + 5x * 7x)) = 0 (-9 + -45x + (7x + 35x2)) = 0 Combine like terms: -45x + 7x = -38x (-9 + -38x + 35x2) = 0 Solving -9 + -38x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(9 + -7x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {-0.2, 1.285714286}
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