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Simplifying 0 = 9x2 + -97x + 200 Reorder the terms: 0 = 200 + -97x + 9x2 Solving 0 = 200 + -97x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -200 = -200 -200 + 97x + -9x2 = 200 + -97x + 9x2 + -200 + 97x + -9x2 Reorder the terms: -200 + 97x + -9x2 = 200 + -200 + -97x + 97x + 9x2 + -9x2 Combine like terms: 200 + -200 = 0 -200 + 97x + -9x2 = 0 + -97x + 97x + 9x2 + -9x2 -200 + 97x + -9x2 = -97x + 97x + 9x2 + -9x2 Combine like terms: -97x + 97x = 0 -200 + 97x + -9x2 = 0 + 9x2 + -9x2 -200 + 97x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -200 + 97x + -9x2 = 0 Factor a trinomial. (-8 + x)(25 + -9x) = 0Subproblem 1
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 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 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Subproblem 2
Set the factor '(25 + -9x)' equal to zero and attempt to solve: Simplifying 25 + -9x = 0 Solving 25 + -9x = 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 + -9x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9x = 0 + -25 -9x = 0 + -25 Combine like terms: 0 + -25 = -25 -9x = -25 Divide each side by '-9'. x = 2.777777778 Simplifying x = 2.777777778Solution
x = {8, 2.777777778}
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