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Simplifying x2 + -36x = 205 Reorder the terms: -36x + x2 = 205 Solving -36x + x2 = 205 Solving for variable 'x'. Reorder the terms: -205 + -36x + x2 = 205 + -205 Combine like terms: 205 + -205 = 0 -205 + -36x + x2 = 0 Factor a trinomial. (-5 + -1x)(41 + -1x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(41 + -1x)' equal to zero and attempt to solve: Simplifying 41 + -1x = 0 Solving 41 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -1x = 0 + -41 -1x = 0 + -41 Combine like terms: 0 + -41 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41Solution
x = {-5, 41}
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