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Simplifying 3X2 = 18 + -25X Solving 3X2 = 18 + -25X Solving for variable 'X'. Reorder the terms: -18 + 25X + 3X2 = 18 + -25X + -18 + 25X Reorder the terms: -18 + 25X + 3X2 = 18 + -18 + -25X + 25X Combine like terms: 18 + -18 = 0 -18 + 25X + 3X2 = 0 + -25X + 25X -18 + 25X + 3X2 = -25X + 25X Combine like terms: -25X + 25X = 0 -18 + 25X + 3X2 = 0 Factor a trinomial. (-9 + -1X)(2 + -3X) = 0Subproblem 1
Set the factor '(-9 + -1X)' equal to zero and attempt to solve: Simplifying -9 + -1X = 0 Solving -9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1X = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1X = 0 + 9 -1X = 0 + 9 Combine like terms: 0 + 9 = 9 -1X = 9 Divide each side by '-1'. X = -9 Simplifying X = -9Subproblem 2
Set the factor '(2 + -3X)' equal to zero and attempt to solve: Simplifying 2 + -3X = 0 Solving 2 + -3X = 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 + -3X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 0 + -2 -3X = 0 + -2 Combine like terms: 0 + -2 = -2 -3X = -2 Divide each side by '-3'. X = 0.6666666667 Simplifying X = 0.6666666667Solution
X = {-9, 0.6666666667}
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