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Simplifying 3x2 + -17x + -228 = 0 Reorder the terms: -228 + -17x + 3x2 = 0 Solving -228 + -17x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -3x)(12 + -1x) = 0Subproblem 1
Set the factor '(-19 + -3x)' equal to zero and attempt to solve: Simplifying -19 + -3x = 0 Solving -19 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = 0 + 19 -3x = 0 + 19 Combine like terms: 0 + 19 = 19 -3x = 19 Divide each side by '-3'. x = -6.333333333 Simplifying x = -6.333333333Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-6.333333333, 12}
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