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Simplifying -8300 + x2 + -10x + 44 = 0 Reorder the terms: -8300 + 44 + -10x + x2 = 0 Combine like terms: -8300 + 44 = -8256 -8256 + -10x + x2 = 0 Solving -8256 + -10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-86 + -1x)(96 + -1x) = 0Subproblem 1
Set the factor '(-86 + -1x)' equal to zero and attempt to solve: Simplifying -86 + -1x = 0 Solving -86 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '86' to each side of the equation. -86 + 86 + -1x = 0 + 86 Combine like terms: -86 + 86 = 0 0 + -1x = 0 + 86 -1x = 0 + 86 Combine like terms: 0 + 86 = 86 -1x = 86 Divide each side by '-1'. x = -86 Simplifying x = -86Subproblem 2
Set the factor '(96 + -1x)' equal to zero and attempt to solve: Simplifying 96 + -1x = 0 Solving 96 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -1x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -1x = 0 + -96 -1x = 0 + -96 Combine like terms: 0 + -96 = -96 -1x = -96 Divide each side by '-1'. x = 96 Simplifying x = 96Solution
x = {-86, 96}
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