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Simplifying x2 + -3x = 9504 Reorder the terms: -3x + x2 = 9504 Solving -3x + x2 = 9504 Solving for variable 'x'. Reorder the terms: -9504 + -3x + x2 = 9504 + -9504 Combine like terms: 9504 + -9504 = 0 -9504 + -3x + x2 = 0 Factor a trinomial. (-96 + -1x)(99 + -1x) = 0Subproblem 1
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 = -96Subproblem 2
Set the factor '(99 + -1x)' equal to zero and attempt to solve: Simplifying 99 + -1x = 0 Solving 99 + -1x = 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 + -1x = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -1x = 0 + -99 -1x = 0 + -99 Combine like terms: 0 + -99 = -99 -1x = -99 Divide each side by '-1'. x = 99 Simplifying x = 99Solution
x = {-96, 99}
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