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Simplifying 12X2 + 35X + 18 = 0 Reorder the terms: 18 + 35X + 12X2 = 0 Solving 18 + 35X + 12X2 = 0 Solving for variable 'X'. Factor a trinomial. (9 + 4X)(2 + 3X) = 0Subproblem 1
Set the factor '(9 + 4X)' equal to zero and attempt to solve: Simplifying 9 + 4X = 0 Solving 9 + 4X = 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 + 4X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4X = 0 + -9 4X = 0 + -9 Combine like terms: 0 + -9 = -9 4X = -9 Divide each side by '4'. X = -2.25 Simplifying X = -2.25Subproblem 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 = {-2.25, -0.6666666667}
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