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Simplifying 5x2 + -18x + 9 = 252 Reorder the terms: 9 + -18x + 5x2 = 252 Solving 9 + -18x + 5x2 = 252 Solving for variable 'x'. Reorder the terms: 9 + -252 + -18x + 5x2 = 252 + -252 Combine like terms: 9 + -252 = -243 -243 + -18x + 5x2 = 252 + -252 Combine like terms: 252 + -252 = 0 -243 + -18x + 5x2 = 0 Factor a trinomial. (-27 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-27 + -5x)' equal to zero and attempt to solve: Simplifying -27 + -5x = 0 Solving -27 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -5x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -5x = 0 + 27 -5x = 0 + 27 Combine like terms: 0 + 27 = 27 -5x = 27 Divide each side by '-5'. x = -5.4 Simplifying x = -5.4Subproblem 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 = {-5.4, 9}
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