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Simplifying 3x2 + -1x + -41 = 11 Reorder the terms: -41 + -1x + 3x2 = 11 Solving -41 + -1x + 3x2 = 11 Solving for variable 'x'. Reorder the terms: -41 + -11 + -1x + 3x2 = 11 + -11 Combine like terms: -41 + -11 = -52 -52 + -1x + 3x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -52 + -1x + 3x2 = 0 Factor a trinomial. (-4 + -1x)(13 + -3x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 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 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333Solution
x = {-4, 4.333333333}
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