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Simplifying 0 = x2 + -9x + -400 Reorder the terms: 0 = -400 + -9x + x2 Solving 0 = -400 + -9x + x2 Solving for variable 'x'. Combine like terms: 0 + 400 = 400 400 + 9x + -1x2 = -400 + -9x + x2 + 400 + 9x + -1x2 Reorder the terms: 400 + 9x + -1x2 = -400 + 400 + -9x + 9x + x2 + -1x2 Combine like terms: -400 + 400 = 0 400 + 9x + -1x2 = 0 + -9x + 9x + x2 + -1x2 400 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 400 + 9x + -1x2 = 0 + x2 + -1x2 400 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 400 + 9x + -1x2 = 0 Factor a trinomial. (25 + -1x)(16 + x) = 0Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {25, -16}
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