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Simplifying (6x + -2)(6x + -2) = 0 Reorder the terms: (-2 + 6x)(6x + -2) = 0 Reorder the terms: (-2 + 6x)(-2 + 6x) = 0 Multiply (-2 + 6x) * (-2 + 6x) (-2(-2 + 6x) + 6x * (-2 + 6x)) = 0 ((-2 * -2 + 6x * -2) + 6x * (-2 + 6x)) = 0 ((4 + -12x) + 6x * (-2 + 6x)) = 0 (4 + -12x + (-2 * 6x + 6x * 6x)) = 0 (4 + -12x + (-12x + 36x2)) = 0 Combine like terms: -12x + -12x = -24x (4 + -24x + 36x2) = 0 Solving 4 + -24x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -6x + 9x2) = 0 Factor a trinomial. 4((1 + -3x)(1 + -3x)) = 0 Ignore the factor 4.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 '(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 = 0.3333333333Solution
x = {0.3333333333, 0.3333333333}
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