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Simplifying (7 + -1x)(5x + 9) = 0 Reorder the terms: (7 + -1x)(9 + 5x) = 0 Multiply (7 + -1x) * (9 + 5x) (7(9 + 5x) + -1x * (9 + 5x)) = 0 ((9 * 7 + 5x * 7) + -1x * (9 + 5x)) = 0 ((63 + 35x) + -1x * (9 + 5x)) = 0 (63 + 35x + (9 * -1x + 5x * -1x)) = 0 (63 + 35x + (-9x + -5x2)) = 0 Combine like terms: 35x + -9x = 26x (63 + 26x + -5x2) = 0 Solving 63 + 26x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(9 + 5x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 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 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {7, -1.8}
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