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Simplifying (3x)(3x) + -12(3x) + 27 = 0 Remove parenthesis around (3x) 3x(3x) + -12(3x) + 27 = 0 Remove parenthesis around (3x) 3x * 3x + -12(3x) + 27 = 0 Reorder the terms for easier multiplication: 3 * 3x * x + -12(3x) + 27 = 0 Multiply 3 * 3 9x * x + -12(3x) + 27 = 0 Multiply x * x 9x2 + -12(3x) + 27 = 0 Remove parenthesis around (3x) 9x2 + -12 * 3x + 27 = 0 Multiply -12 * 3 9x2 + -36x + 27 = 0 Reorder the terms: 27 + -36x + 9x2 = 0 Solving 27 + -36x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(3 + -4x + x2) = 0 Factor a trinomial. 9((1 + -1x)(3 + -1x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1, 3}
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