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Simplifying 60 = 6x2 + 2x Reorder the terms: 60 = 2x + 6x2 Solving 60 = 2x + 6x2 Solving for variable 'x'. Reorder the terms: 60 + -2x + -6x2 = 2x + -2x + 6x2 + -6x2 Combine like terms: 2x + -2x = 0 60 + -2x + -6x2 = 0 + 6x2 + -6x2 60 + -2x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 60 + -2x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -1x + -3x2) = 0 Factor a trinomial. 2((3 + -1x)(10 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -3.333333333}
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