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Simplifying 8400 = x2 + -9x + 48 Reorder the terms: 8400 = 48 + -9x + x2 Solving 8400 = 48 + -9x + x2 Solving for variable 'x'. Combine like terms: 8400 + -48 = 8352 8352 + 9x + -1x2 = 48 + -9x + x2 + -48 + 9x + -1x2 Reorder the terms: 8352 + 9x + -1x2 = 48 + -48 + -9x + 9x + x2 + -1x2 Combine like terms: 48 + -48 = 0 8352 + 9x + -1x2 = 0 + -9x + 9x + x2 + -1x2 8352 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 8352 + 9x + -1x2 = 0 + x2 + -1x2 8352 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8352 + 9x + -1x2 = 0 Factor a trinomial. (96 + -1x)(87 + x) = 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 '(87 + x)' equal to zero and attempt to solve: Simplifying 87 + x = 0 Solving 87 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + x = 0 + -87 Combine like terms: 87 + -87 = 0 0 + x = 0 + -87 x = 0 + -87 Combine like terms: 0 + -87 = -87 x = -87 Simplifying x = -87Solution
x = {96, -87}
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