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Simplifying -6X2 + X + 12 = 0 Reorder the terms: 12 + X + -6X2 = 0 Solving 12 + X + -6X2 = 0 Solving for variable 'X'. Factor a trinomial. (3 + -2X)(4 + 3X) = 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 '(4 + 3X)' equal to zero and attempt to solve: Simplifying 4 + 3X = 0 Solving 4 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3X = 0 + -4 3X = 0 + -4 Combine like terms: 0 + -4 = -4 3X = -4 Divide each side by '3'. X = -1.333333333 Simplifying X = -1.333333333Solution
X = {1.5, -1.333333333}
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