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Simplifying -3x + -11x2 + 14 = 0 Reorder the terms: 14 + -3x + -11x2 = 0 Solving 14 + -3x + -11x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(14 + 11x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(14 + 11x)' equal to zero and attempt to solve: Simplifying 14 + 11x = 0 Solving 14 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 11x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 0 + -14 11x = 0 + -14 Combine like terms: 0 + -14 = -14 11x = -14 Divide each side by '11'. x = -1.272727273 Simplifying x = -1.272727273Solution
x = {1, -1.272727273}
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