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Simplifying 9x2 + -109x + 252 = 0 Reorder the terms: 252 + -109x + 9x2 = 0 Solving 252 + -109x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (28 + -9x)(9 + -1x) = 0Subproblem 1
Set the factor '(28 + -9x)' equal to zero and attempt to solve: Simplifying 28 + -9x = 0 Solving 28 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -9x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9x = 0 + -28 -9x = 0 + -28 Combine like terms: 0 + -28 = -28 -9x = -28 Divide each side by '-9'. x = 3.111111111 Simplifying x = 3.111111111Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {3.111111111, 9}
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