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Simplifying 36X2 + -97X + 36 = 0 Reorder the terms: 36 + -97X + 36X2 = 0 Solving 36 + -97X + 36X2 = 0 Solving for variable 'X'. Factor a trinomial. (4 + -9X)(9 + -4X) = 0Subproblem 1
Set the factor '(4 + -9X)' equal to zero and attempt to solve: Simplifying 4 + -9X = 0 Solving 4 + -9X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9X = 0 + -4 -9X = 0 + -4 Combine like terms: 0 + -4 = -4 -9X = -4 Divide each side by '-9'. X = 0.4444444444 Simplifying X = 0.4444444444Subproblem 2
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 = 2.25Solution
X = {0.4444444444, 2.25}
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