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Simplifying 117 + -61X + 4X2 = 0 Solving 117 + -61X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (9 + -4X)(13 + -1X) = 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 '(13 + -1X)' equal to zero and attempt to solve: Simplifying 13 + -1X = 0 Solving 13 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1X = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1X = 0 + -13 -1X = 0 + -13 Combine like terms: 0 + -13 = -13 -1X = -13 Divide each side by '-1'. X = 13 Simplifying X = 13Solution
X = {2.25, 13}
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