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Simplifying 18X2 + 9X = 35 Reorder the terms: 9X + 18X2 = 35 Solving 9X + 18X2 = 35 Solving for variable 'X'. Reorder the terms: -35 + 9X + 18X2 = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 9X + 18X2 = 0 Factor a trinomial. (-5 + -3X)(7 + -6X) = 0Subproblem 1
Set the factor '(-5 + -3X)' equal to zero and attempt to solve: Simplifying -5 + -3X = 0 Solving -5 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3X = 0 + 5 -3X = 0 + 5 Combine like terms: 0 + 5 = 5 -3X = 5 Divide each side by '-3'. X = -1.666666667 Simplifying X = -1.666666667Subproblem 2
Set the factor '(7 + -6X)' equal to zero and attempt to solve: Simplifying 7 + -6X = 0 Solving 7 + -6X = 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 + -6X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6X = 0 + -7 -6X = 0 + -7 Combine like terms: 0 + -7 = -7 -6X = -7 Divide each side by '-6'. X = 1.166666667 Simplifying X = 1.166666667Solution
X = {-1.666666667, 1.166666667}
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