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Simplifying 9x2 + 102x = -289 Reorder the terms: 102x + 9x2 = -289 Solving 102x + 9x2 = -289 Solving for variable 'x'. Reorder the terms: 289 + 102x + 9x2 = -289 + 289 Combine like terms: -289 + 289 = 0 289 + 102x + 9x2 = 0 Factor a trinomial. (17 + 3x)(17 + 3x) = 0Subproblem 1
Set the factor '(17 + 3x)' equal to zero and attempt to solve: Simplifying 17 + 3x = 0 Solving 17 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667Subproblem 2
Set the factor '(17 + 3x)' equal to zero and attempt to solve: Simplifying 17 + 3x = 0 Solving 17 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = 0 + -17 3x = 0 + -17 Combine like terms: 0 + -17 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667Solution
x = {-5.666666667, -5.666666667}
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