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Simplifying x2 + x + 2 = 652 Reorder the terms: 2 + x + x2 = 652 Solving 2 + x + x2 = 652 Solving for variable 'x'. Reorder the terms: 2 + -652 + x + x2 = 652 + -652 Combine like terms: 2 + -652 = -650 -650 + x + x2 = 652 + -652 Combine like terms: 652 + -652 = 0 -650 + x + x2 = 0 Factor a trinomial. (-26 + -1x)(25 + -1x) = 0Subproblem 1
Set the factor '(-26 + -1x)' equal to zero and attempt to solve: Simplifying -26 + -1x = 0 Solving -26 + -1x = 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 + -1x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -1x = 0 + 26 -1x = 0 + 26 Combine like terms: 0 + 26 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {-26, 25}
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