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Simplifying 0 = 3x2 + -8x + -60 Reorder the terms: 0 = -60 + -8x + 3x2 Solving 0 = -60 + -8x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 60 = 60 60 + 8x + -3x2 = -60 + -8x + 3x2 + 60 + 8x + -3x2 Reorder the terms: 60 + 8x + -3x2 = -60 + 60 + -8x + 8x + 3x2 + -3x2 Combine like terms: -60 + 60 = 0 60 + 8x + -3x2 = 0 + -8x + 8x + 3x2 + -3x2 60 + 8x + -3x2 = -8x + 8x + 3x2 + -3x2 Combine like terms: -8x + 8x = 0 60 + 8x + -3x2 = 0 + 3x2 + -3x2 60 + 8x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 60 + 8x + -3x2 = 0 Factor a trinomial. (6 + -1x)(10 + 3x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333Solution
x = {6, -3.333333333}
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