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Simplifying x2 + x = 1980 Reorder the terms: x + x2 = 1980 Solving x + x2 = 1980 Solving for variable 'x'. Reorder the terms: -1980 + x + x2 = 1980 + -1980 Combine like terms: 1980 + -1980 = 0 -1980 + x + x2 = 0 Factor a trinomial. (-45 + -1x)(44 + -1x) = 0Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45Subproblem 2
Set the factor '(44 + -1x)' equal to zero and attempt to solve: Simplifying 44 + -1x = 0 Solving 44 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = 0 + -44 -1x = 0 + -44 Combine like terms: 0 + -44 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44Solution
x = {-45, 44}
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