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Simplifying 6x2 = 22x + -20 Reorder the terms: 6x2 = -20 + 22x Solving 6x2 = -20 + 22x Solving for variable 'x'. Reorder the terms: 20 + -22x + 6x2 = -20 + 22x + 20 + -22x Reorder the terms: 20 + -22x + 6x2 = -20 + 20 + 22x + -22x Combine like terms: -20 + 20 = 0 20 + -22x + 6x2 = 0 + 22x + -22x 20 + -22x + 6x2 = 22x + -22x Combine like terms: 22x + -22x = 0 20 + -22x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -11x + 3x2) = 0 Factor a trinomial. 2((5 + -3x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1.666666667, 2}
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