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Simplifying 2x2 + -7x = 10x + 9 Reorder the terms: -7x + 2x2 = 10x + 9 Reorder the terms: -7x + 2x2 = 9 + 10x Solving -7x + 2x2 = 9 + 10x Solving for variable 'x'. Reorder the terms: -9 + -7x + -10x + 2x2 = 9 + 10x + -9 + -10x Combine like terms: -7x + -10x = -17x -9 + -17x + 2x2 = 9 + 10x + -9 + -10x Reorder the terms: -9 + -17x + 2x2 = 9 + -9 + 10x + -10x Combine like terms: 9 + -9 = 0 -9 + -17x + 2x2 = 0 + 10x + -10x -9 + -17x + 2x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -9 + -17x + 2x2 = 0 Factor a trinomial. (-1 + -2x)(9 + -1x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-0.5, 9}
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