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Simplifying 2X2 + -1X = 6 Reorder the terms: -1X + 2X2 = 6 Solving -1X + 2X2 = 6 Solving for variable 'X'. Reorder the terms: -6 + -1X + 2X2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -1X + 2X2 = 0 Factor a trinomial. (-3 + -2X)(2 + -1X) = 0Subproblem 1
Set the factor '(-3 + -2X)' equal to zero and attempt to solve: Simplifying -3 + -2X = 0 Solving -3 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2X = 0 + 3 -2X = 0 + 3 Combine like terms: 0 + 3 = 3 -2X = 3 Divide each side by '-2'. X = -1.5 Simplifying X = -1.5Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {-1.5, 2}
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