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Simplifying 0 = 2x2 + 9x + -200 Reorder the terms: 0 = -200 + 9x + 2x2 Solving 0 = -200 + 9x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 200 = 200 200 + -9x + -2x2 = -200 + 9x + 2x2 + 200 + -9x + -2x2 Reorder the terms: 200 + -9x + -2x2 = -200 + 200 + 9x + -9x + 2x2 + -2x2 Combine like terms: -200 + 200 = 0 200 + -9x + -2x2 = 0 + 9x + -9x + 2x2 + -2x2 200 + -9x + -2x2 = 9x + -9x + 2x2 + -2x2 Combine like terms: 9x + -9x = 0 200 + -9x + -2x2 = 0 + 2x2 + -2x2 200 + -9x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 200 + -9x + -2x2 = 0 Factor a trinomial. (8 + -1x)(25 + 2x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(25 + 2x)' equal to zero and attempt to solve: Simplifying 25 + 2x = 0 Solving 25 + 2x = 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 + 2x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 0 + -25 2x = 0 + -25 Combine like terms: 0 + -25 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5Solution
x = {8, -12.5}
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