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Simplifying 0 = 6x2 + 6x + -36 Reorder the terms: 0 = -36 + 6x + 6x2 Solving 0 = -36 + 6x + 6x2 Solving for variable 'x'. Combine like terms: 0 + 36 = 36 36 + -6x + -6x2 = -36 + 6x + 6x2 + 36 + -6x + -6x2 Reorder the terms: 36 + -6x + -6x2 = -36 + 36 + 6x + -6x + 6x2 + -6x2 Combine like terms: -36 + 36 = 0 36 + -6x + -6x2 = 0 + 6x + -6x + 6x2 + -6x2 36 + -6x + -6x2 = 6x + -6x + 6x2 + -6x2 Combine like terms: 6x + -6x = 0 36 + -6x + -6x2 = 0 + 6x2 + -6x2 36 + -6x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 36 + -6x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(6 + -1x + -1x2) = 0 Factor a trinomial. 6((2 + -1x)(3 + x)) = 0 Ignore the factor 6.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {2, -3}
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