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Simplifying 6x2 + -2x = 28 Reorder the terms: -2x + 6x2 = 28 Solving -2x + 6x2 = 28 Solving for variable 'x'. Reorder the terms: -28 + -2x + 6x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -2x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -1x + 3x2) = 0 Factor a trinomial. 2((-2 + -1x)(7 + -3x)) = 0 Ignore the factor 2.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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-2, 2.333333333}
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