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Simplifying (6x + -3)(6x + -3) = 0 Reorder the terms: (-3 + 6x)(6x + -3) = 0 Reorder the terms: (-3 + 6x)(-3 + 6x) = 0 Multiply (-3 + 6x) * (-3 + 6x) (-3(-3 + 6x) + 6x * (-3 + 6x)) = 0 ((-3 * -3 + 6x * -3) + 6x * (-3 + 6x)) = 0 ((9 + -18x) + 6x * (-3 + 6x)) = 0 (9 + -18x + (-3 * 6x + 6x * 6x)) = 0 (9 + -18x + (-18x + 36x2)) = 0 Combine like terms: -18x + -18x = -36x (9 + -36x + 36x2) = 0 Solving 9 + -36x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(1 + -4x + 4x2) = 0 Factor a trinomial. 9((1 + -2x)(1 + -2x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.5, 0.5}
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