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Simplifying 9x2 + 225x = -1250 Reorder the terms: 225x + 9x2 = -1250 Solving 225x + 9x2 = -1250 Solving for variable 'x'. Reorder the terms: 1250 + 225x + 9x2 = -1250 + 1250 Combine like terms: -1250 + 1250 = 0 1250 + 225x + 9x2 = 0 Factor a trinomial. (50 + 3x)(25 + 3x) = 0Subproblem 1
Set the factor '(50 + 3x)' equal to zero and attempt to solve: Simplifying 50 + 3x = 0 Solving 50 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = 0 + -50 3x = 0 + -50 Combine like terms: 0 + -50 = -50 3x = -50 Divide each side by '3'. x = -16.66666667 Simplifying x = -16.66666667Subproblem 2
Set the factor '(25 + 3x)' equal to zero and attempt to solve: Simplifying 25 + 3x = 0 Solving 25 + 3x = 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 + 3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 3x = 0 + -25 3x = 0 + -25 Combine like terms: 0 + -25 = -25 3x = -25 Divide each side by '3'. x = -8.333333333 Simplifying x = -8.333333333Solution
x = {-16.66666667, -8.333333333}
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