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Simplifying 7 = 12X + 27X2 Solving 7 = 12X + 27X2 Solving for variable 'X'. Reorder the terms: 7 + -12X + -27X2 = 12X + -12X + 27X2 + -27X2 Combine like terms: 12X + -12X = 0 7 + -12X + -27X2 = 0 + 27X2 + -27X2 7 + -12X + -27X2 = 27X2 + -27X2 Combine like terms: 27X2 + -27X2 = 0 7 + -12X + -27X2 = 0 Factor a trinomial. (1 + -3X)(7 + 9X) = 0Subproblem 1
Set the factor '(1 + -3X)' equal to zero and attempt to solve: Simplifying 1 + -3X = 0 Solving 1 + -3X = 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 + -3X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3X = 0 + -1 -3X = 0 + -1 Combine like terms: 0 + -1 = -1 -3X = -1 Divide each side by '-3'. X = 0.3333333333 Simplifying X = 0.3333333333Subproblem 2
Set the factor '(7 + 9X)' equal to zero and attempt to solve: Simplifying 7 + 9X = 0 Solving 7 + 9X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9X = 0 + -7 9X = 0 + -7 Combine like terms: 0 + -7 = -7 9X = -7 Divide each side by '9'. X = -0.7777777778 Simplifying X = -0.7777777778Solution
X = {0.3333333333, -0.7777777778}
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