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Simplifying 0 = 9x2 + 25x + -100 Reorder the terms: 0 = -100 + 25x + 9x2 Solving 0 = -100 + 25x + 9x2 Solving for variable 'x'. Combine like terms: 0 + 100 = 100 100 + -25x + -9x2 = -100 + 25x + 9x2 + 100 + -25x + -9x2 Reorder the terms: 100 + -25x + -9x2 = -100 + 100 + 25x + -25x + 9x2 + -9x2 Combine like terms: -100 + 100 = 0 100 + -25x + -9x2 = 0 + 25x + -25x + 9x2 + -9x2 100 + -25x + -9x2 = 25x + -25x + 9x2 + -9x2 Combine like terms: 25x + -25x = 0 100 + -25x + -9x2 = 0 + 9x2 + -9x2 100 + -25x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 100 + -25x + -9x2 = 0 Factor a trinomial. (20 + -9x)(5 + x) = 0Subproblem 1
Set the factor '(20 + -9x)' equal to zero and attempt to solve: Simplifying 20 + -9x = 0 Solving 20 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -9x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 0 + -20 -9x = 0 + -20 Combine like terms: 0 + -20 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {2.222222222, -5}
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