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Simplifying 3x2 + 12x + 18 = 6 Reorder the terms: 18 + 12x + 3x2 = 6 Solving 18 + 12x + 3x2 = 6 Solving for variable 'x'. Reorder the terms: 18 + -6 + 12x + 3x2 = 6 + -6 Combine like terms: 18 + -6 = 12 12 + 12x + 3x2 = 6 + -6 Combine like terms: 6 + -6 = 0 12 + 12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 4x + x2) = 0 Factor a trinomial. 3((2 + x)(2 + x)) = 0 Ignore the factor 3.Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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