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Simplifying 20 = 6x2 + 10x + 4 Reorder the terms: 20 = 4 + 10x + 6x2 Solving 20 = 4 + 10x + 6x2 Solving for variable 'x'. Combine like terms: 20 + -4 = 16 16 + -10x + -6x2 = 4 + 10x + 6x2 + -4 + -10x + -6x2 Reorder the terms: 16 + -10x + -6x2 = 4 + -4 + 10x + -10x + 6x2 + -6x2 Combine like terms: 4 + -4 = 0 16 + -10x + -6x2 = 0 + 10x + -10x + 6x2 + -6x2 16 + -10x + -6x2 = 10x + -10x + 6x2 + -6x2 Combine like terms: 10x + -10x = 0 16 + -10x + -6x2 = 0 + 6x2 + -6x2 16 + -10x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 16 + -10x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -5x + -3x2) = 0 Factor a trinomial. 2((1 + -1x)(8 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {1, -2.666666667}
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