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Simplifying 5x2 = 63 + -26x Solving 5x2 = 63 + -26x Solving for variable 'x'. Reorder the terms: -63 + 26x + 5x2 = 63 + -26x + -63 + 26x Reorder the terms: -63 + 26x + 5x2 = 63 + -63 + -26x + 26x Combine like terms: 63 + -63 = 0 -63 + 26x + 5x2 = 0 + -26x + 26x -63 + 26x + 5x2 = -26x + 26x Combine like terms: -26x + 26x = 0 -63 + 26x + 5x2 = 0 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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