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Simplifying (7x + -9)(5x + -7) = 0 Reorder the terms: (-9 + 7x)(5x + -7) = 0 Reorder the terms: (-9 + 7x)(-7 + 5x) = 0 Multiply (-9 + 7x) * (-7 + 5x) (-9(-7 + 5x) + 7x * (-7 + 5x)) = 0 ((-7 * -9 + 5x * -9) + 7x * (-7 + 5x)) = 0 ((63 + -45x) + 7x * (-7 + 5x)) = 0 (63 + -45x + (-7 * 7x + 5x * 7x)) = 0 (63 + -45x + (-49x + 35x2)) = 0 Combine like terms: -45x + -49x = -94x (63 + -94x + 35x2) = 0 Solving 63 + -94x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -7x)(7 + -5x) = 0Subproblem 1
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 = 1.285714286Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {1.285714286, 1.4}
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