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Simplifying (3X2) + -1(11X) + -14 = 0 Remove parenthesis around (11X) (3X2) + -1 * 11X + -14 = 0 Multiply -1 * 11 (3X2) + -11X + -14 = 0 Reorder the terms: -14 + -11X + (3X2) = 0 Solving -14 + -11X + (3X2) = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -1X)(14 + -3X) = 0Subproblem 1
Set the factor '(-1 + -1X)' equal to zero and attempt to solve: Simplifying -1 + -1X = 0 Solving -1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1X = 0 + 1 -1X = 0 + 1 Combine like terms: 0 + 1 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1Subproblem 2
Set the factor '(14 + -3X)' equal to zero and attempt to solve: Simplifying 14 + -3X = 0 Solving 14 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3X = 0 + -14 -3X = 0 + -14 Combine like terms: 0 + -14 = -14 -3X = -14 Divide each side by '-3'. X = 4.666666667 Simplifying X = 4.666666667Solution
X = {-1, 4.666666667}
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