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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 = -4x (-63 + -4x + 35x2) = 0 Solving -63 + -4x + 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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