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Simplifying x(7x + 8) = 2x2 + -18x + 63 Reorder the terms: x(8 + 7x) = 2x2 + -18x + 63 (8 * x + 7x * x) = 2x2 + -18x + 63 (8x + 7x2) = 2x2 + -18x + 63 Reorder the terms: 8x + 7x2 = 63 + -18x + 2x2 Solving 8x + 7x2 = 63 + -18x + 2x2 Solving for variable 'x'. Reorder the terms: -63 + 8x + 18x + 7x2 + -2x2 = 63 + -18x + 2x2 + -63 + 18x + -2x2 Combine like terms: 8x + 18x = 26x -63 + 26x + 7x2 + -2x2 = 63 + -18x + 2x2 + -63 + 18x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -63 + 26x + 5x2 = 63 + -18x + 2x2 + -63 + 18x + -2x2 Reorder the terms: -63 + 26x + 5x2 = 63 + -63 + -18x + 18x + 2x2 + -2x2 Combine like terms: 63 + -63 = 0 -63 + 26x + 5x2 = 0 + -18x + 18x + 2x2 + -2x2 -63 + 26x + 5x2 = -18x + 18x + 2x2 + -2x2 Combine like terms: -18x + 18x = 0 -63 + 26x + 5x2 = 0 + 2x2 + -2x2 -63 + 26x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 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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