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Simplifying (3x + 6)(-6x + 2) = 0 Reorder the terms: (6 + 3x)(-6x + 2) = 0 Reorder the terms: (6 + 3x)(2 + -6x) = 0 Multiply (6 + 3x) * (2 + -6x) (6(2 + -6x) + 3x * (2 + -6x)) = 0 ((2 * 6 + -6x * 6) + 3x * (2 + -6x)) = 0 ((12 + -36x) + 3x * (2 + -6x)) = 0 (12 + -36x + (2 * 3x + -6x * 3x)) = 0 (12 + -36x + (6x + -18x2)) = 0 Combine like terms: -36x + 6x = -30x (12 + -30x + -18x2) = 0 Solving 12 + -30x + -18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -5x + -3x2) = 0 Factor a trinomial. 6((1 + -3x)(2 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0.3333333333, -2}
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