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Simplifying (6x2 + -6x + 28) + (3x2 + 9 + -85) = 0 Reorder the terms: (28 + -6x + 6x2) + (3x2 + 9 + -85) = 0 Remove parenthesis around (28 + -6x + 6x2) 28 + -6x + 6x2 + (3x2 + 9 + -85) = 0 Reorder the terms: 28 + -6x + 6x2 + (9 + -85 + 3x2) = 0 Combine like terms: 9 + -85 = -76 28 + -6x + 6x2 + (-76 + 3x2) = 0 Remove parenthesis around (-76 + 3x2) 28 + -6x + 6x2 + -76 + 3x2 = 0 Reorder the terms: 28 + -76 + -6x + 6x2 + 3x2 = 0 Combine like terms: 28 + -76 = -48 -48 + -6x + 6x2 + 3x2 = 0 Combine like terms: 6x2 + 3x2 = 9x2 -48 + -6x + 9x2 = 0 Solving -48 + -6x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -2x + 3x2) = 0 Factor a trinomial. 3((-2 + -1x)(8 + -3x)) = 0 Ignore the factor 3.Subproblem 1
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 = -2Subproblem 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 = {-2, 2.666666667}
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