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Simplifying 9x2 = 57x + -60 Reorder the terms: 9x2 = -60 + 57x Solving 9x2 = -60 + 57x Solving for variable 'x'. Reorder the terms: 60 + -57x + 9x2 = -60 + 57x + 60 + -57x Reorder the terms: 60 + -57x + 9x2 = -60 + 60 + 57x + -57x Combine like terms: -60 + 60 = 0 60 + -57x + 9x2 = 0 + 57x + -57x 60 + -57x + 9x2 = 57x + -57x Combine like terms: 57x + -57x = 0 60 + -57x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(20 + -19x + 3x2) = 0 Factor a trinomial. 3((4 + -3x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1.333333333, 5}
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