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Simplifying (3x + -1)(x) = 44 Reorder the terms: (-1 + 3x)(x) = 44 Reorder the terms for easier multiplication: x(-1 + 3x) = 44 (-1 * x + 3x * x) = 44 (-1x + 3x2) = 44 Solving -1x + 3x2 = 44 Solving for variable 'x'. Reorder the terms: -44 + -1x + 3x2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + -1x + 3x2 = 0 Factor a trinomial. (-11 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
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 = 4Solution
x = {-3.666666667, 4}
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