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Simplifying 1260 = x2 + x Reorder the terms: 1260 = x + x2 Solving 1260 = x + x2 Solving for variable 'x'. Reorder the terms: 1260 + -1x + -1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 1260 + -1x + -1x2 = 0 + x2 + -1x2 1260 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1260 + -1x + -1x2 = 0 Factor a trinomial. (35 + -1x)(36 + x) = 0Subproblem 1
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Solution
x = {35, -36}
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