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Simplifying 121x2 + -44x = 275x + -100 Reorder the terms: -44x + 121x2 = 275x + -100 Reorder the terms: -44x + 121x2 = -100 + 275x Solving -44x + 121x2 = -100 + 275x Solving for variable 'x'. Reorder the terms: 100 + -44x + -275x + 121x2 = -100 + 275x + 100 + -275x Combine like terms: -44x + -275x = -319x 100 + -319x + 121x2 = -100 + 275x + 100 + -275x Reorder the terms: 100 + -319x + 121x2 = -100 + 100 + 275x + -275x Combine like terms: -100 + 100 = 0 100 + -319x + 121x2 = 0 + 275x + -275x 100 + -319x + 121x2 = 275x + -275x Combine like terms: 275x + -275x = 0 100 + -319x + 121x2 = 0 Factor a trinomial. (4 + -11x)(25 + -11x) = 0Subproblem 1
Set the factor '(4 + -11x)' equal to zero and attempt to solve: Simplifying 4 + -11x = 0 Solving 4 + -11x = 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 + -11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 0 + -4 -11x = 0 + -4 Combine like terms: 0 + -4 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636Subproblem 2
Set the factor '(25 + -11x)' equal to zero and attempt to solve: Simplifying 25 + -11x = 0 Solving 25 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -11x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = 0 + -25 -11x = 0 + -25 Combine like terms: 0 + -25 = -25 -11x = -25 Divide each side by '-11'. x = 2.272727273 Simplifying x = 2.272727273Solution
x = {0.3636363636, 2.272727273}
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