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Simplifying 2X2 + 5X + -102 = 0 Reorder the terms: -102 + 5X + 2X2 = 0 Solving -102 + 5X + 2X2 = 0 Solving for variable 'X'. Factor a trinomial. (-17 + -2X)(6 + -1X) = 0Subproblem 1
Set the factor '(-17 + -2X)' equal to zero and attempt to solve: Simplifying -17 + -2X = 0 Solving -17 + -2X = 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 + -2X = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2X = 0 + 17 -2X = 0 + 17 Combine like terms: 0 + 17 = 17 -2X = 17 Divide each side by '-2'. X = -8.5 Simplifying X = -8.5Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {-8.5, 6}
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