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Simplifying 4x2 + -39x + 41 = 14 Reorder the terms: 41 + -39x + 4x2 = 14 Solving 41 + -39x + 4x2 = 14 Solving for variable 'x'. Reorder the terms: 41 + -14 + -39x + 4x2 = 14 + -14 Combine like terms: 41 + -14 = 27 27 + -39x + 4x2 = 14 + -14 Combine like terms: 14 + -14 = 0 27 + -39x + 4x2 = 0 Factor a trinomial. (3 + -4x)(9 + -1x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0.75, 9}
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