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Simplifying 6X2 = 12 + -1X Solving 6X2 = 12 + -1X Solving for variable 'X'. Reorder the terms: -12 + X + 6X2 = 12 + -1X + -12 + X Reorder the terms: -12 + X + 6X2 = 12 + -12 + -1X + X Combine like terms: 12 + -12 = 0 -12 + X + 6X2 = 0 + -1X + X -12 + X + 6X2 = -1X + X Combine like terms: -1X + X = 0 -12 + X + 6X2 = 0 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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