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Simplifying 20 = 6x2 + 26x Reorder the terms: 20 = 26x + 6x2 Solving 20 = 26x + 6x2 Solving for variable 'x'. Reorder the terms: 20 + -26x + -6x2 = 26x + -26x + 6x2 + -6x2 Combine like terms: 26x + -26x = 0 20 + -26x + -6x2 = 0 + 6x2 + -6x2 20 + -26x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 20 + -26x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -13x + -3x2) = 0 Factor a trinomial. 2((2 + -3x)(5 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0.6666666667, -5}
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