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Simplifying x(3x + -41) = -60 Reorder the terms: x(-41 + 3x) = -60 (-41 * x + 3x * x) = -60 (-41x + 3x2) = -60 Solving -41x + 3x2 = -60 Solving for variable 'x'. Reorder the terms: 60 + -41x + 3x2 = -60 + 60 Combine like terms: -60 + 60 = 0 60 + -41x + 3x2 = 0 Factor a trinomial. (5 + -3x)(12 + -1x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {1.666666667, 12}
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