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Simplifying (6y + -2)(6y + -2) = 0 Reorder the terms: (-2 + 6y)(6y + -2) = 0 Reorder the terms: (-2 + 6y)(-2 + 6y) = 0 Multiply (-2 + 6y) * (-2 + 6y) (-2(-2 + 6y) + 6y * (-2 + 6y)) = 0 ((-2 * -2 + 6y * -2) + 6y * (-2 + 6y)) = 0 ((4 + -12y) + 6y * (-2 + 6y)) = 0 (4 + -12y + (-2 * 6y + 6y * 6y)) = 0 (4 + -12y + (-12y + 36y2)) = 0 Combine like terms: -12y + -12y = -24y (4 + -24y + 36y2) = 0 Solving 4 + -24y + 36y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -6y + 9y2) = 0 Factor a trinomial. 4((1 + -3y)(1 + -3y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Subproblem 2
Set the factor '(1 + -3y)' equal to zero and attempt to solve: Simplifying 1 + -3y = 0 Solving 1 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = 0 + -1 -3y = 0 + -1 Combine like terms: 0 + -1 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333Solution
y = {0.3333333333, 0.3333333333}
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