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Simplifying 1X2 = 3X + 18 Reorder the terms: 1X2 = 18 + 3X Solving 1X2 = 18 + 3X Solving for variable 'X'. Reorder the terms: -18 + -3X + 1X2 = 18 + 3X + -18 + -3X Reorder the terms: -18 + -3X + 1X2 = 18 + -18 + 3X + -3X Combine like terms: 18 + -18 = 0 -18 + -3X + 1X2 = 0 + 3X + -3X -18 + -3X + 1X2 = 3X + -3X Combine like terms: 3X + -3X = 0 -18 + -3X + 1X2 = 0 Factor a trinomial. (-3 + -1X)(6 + -1X) = 0Subproblem 1
Set the factor '(-3 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 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 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 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 = {-3, 6}
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