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