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Simplifying 0 = x2 + -36x + 260 Reorder the terms: 0 = 260 + -36x + x2 Solving 0 = 260 + -36x + x2 Solving for variable 'x'. Combine like terms: 0 + -260 = -260 -260 + 36x + -1x2 = 260 + -36x + x2 + -260 + 36x + -1x2 Reorder the terms: -260 + 36x + -1x2 = 260 + -260 + -36x + 36x + x2 + -1x2 Combine like terms: 260 + -260 = 0 -260 + 36x + -1x2 = 0 + -36x + 36x + x2 + -1x2 -260 + 36x + -1x2 = -36x + 36x + x2 + -1x2 Combine like terms: -36x + 36x = 0 -260 + 36x + -1x2 = 0 + x2 + -1x2 -260 + 36x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -260 + 36x + -1x2 = 0 Factor a trinomial. (-26 + x)(10 + -1x) = 0Subproblem 1
Set the factor '(-26 + x)' equal to zero and attempt to solve: Simplifying -26 + x = 0 Solving -26 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + x = 0 + 26 x = 0 + 26 Combine like terms: 0 + 26 = 26 x = 26 Simplifying x = 26Subproblem 2
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 = 10Solution
x = {26, 10}
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