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Simplifying x2 + -10x + 2 = -2 + -6x Reorder the terms: 2 + -10x + x2 = -2 + -6x Solving 2 + -10x + x2 = -2 + -6x Solving for variable 'x'. Reorder the terms: 2 + 2 + -10x + 6x + x2 = -2 + -6x + 2 + 6x Combine like terms: 2 + 2 = 4 4 + -10x + 6x + x2 = -2 + -6x + 2 + 6x Combine like terms: -10x + 6x = -4x 4 + -4x + x2 = -2 + -6x + 2 + 6x Reorder the terms: 4 + -4x + x2 = -2 + 2 + -6x + 6x Combine like terms: -2 + 2 = 0 4 + -4x + x2 = 0 + -6x + 6x 4 + -4x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 4 + -4x + x2 = 0 Factor a trinomial. (2 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {2, 2}
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