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Simplifying 5x2 + -1x + -1980 = 0 Reorder the terms: -1980 + -1x + 5x2 = 0 Solving -1980 + -1x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-99 + -5x)(20 + -1x) = 0Subproblem 1
Set the factor '(-99 + -5x)' equal to zero and attempt to solve: Simplifying -99 + -5x = 0 Solving -99 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '99' to each side of the equation. -99 + 99 + -5x = 0 + 99 Combine like terms: -99 + 99 = 0 0 + -5x = 0 + 99 -5x = 0 + 99 Combine like terms: 0 + 99 = 99 -5x = 99 Divide each side by '-5'. x = -19.8 Simplifying x = -19.8Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-19.8, 20}
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