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Simplifying x2 + -9x + 26 = 6 Reorder the terms: 26 + -9x + x2 = 6 Solving 26 + -9x + x2 = 6 Solving for variable 'x'. Reorder the terms: 26 + -6 + -9x + x2 = 6 + -6 Combine like terms: 26 + -6 = 20 20 + -9x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 20 + -9x + x2 = 0 Factor a trinomial. (4 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {4, 5}
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