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Simplifying x2 + -10x + 23 = 7 Reorder the terms: 23 + -10x + x2 = 7 Solving 23 + -10x + x2 = 7 Solving for variable 'x'. Reorder the terms: 23 + -7 + -10x + x2 = 7 + -7 Combine like terms: 23 + -7 = 16 16 + -10x + x2 = 7 + -7 Combine like terms: 7 + -7 = 0 16 + -10x + x2 = 0 Factor a trinomial. (2 + -1x)(8 + -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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {2, 8}
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