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Simplifying x2 + -19x + -8100 = 0 Reorder the terms: -8100 + -19x + x2 = 0 Solving -8100 + -19x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-81 + -1x)(100 + -1x) = 0Subproblem 1
Set the factor '(-81 + -1x)' equal to zero and attempt to solve: Simplifying -81 + -1x = 0 Solving -81 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -1x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1x = 0 + 81 -1x = 0 + 81 Combine like terms: 0 + 81 = 81 -1x = 81 Divide each side by '-1'. x = -81 Simplifying x = -81Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Solution
x = {-81, 100}
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