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Simplifying x2 + -1x + -1980 = 0 Reorder the terms: -1980 + -1x + x2 = 0 Solving -1980 + -1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-44 + -1x)(45 + -1x) = 0Subproblem 1
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 = -44Subproblem 2
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 = 45Solution
x = {-44, 45}
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