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Simplifying (6y2 + -4y) + (6y2 + 6y + -4) = 0 Reorder the terms: (-4y + 6y2) + (6y2 + 6y + -4) = 0 Remove parenthesis around (-4y + 6y2) -4y + 6y2 + (6y2 + 6y + -4) = 0 Reorder the terms: -4y + 6y2 + (-4 + 6y + 6y2) = 0 Remove parenthesis around (-4 + 6y + 6y2) -4y + 6y2 + -4 + 6y + 6y2 = 0 Reorder the terms: -4 + -4y + 6y + 6y2 + 6y2 = 0 Combine like terms: -4y + 6y = 2y -4 + 2y + 6y2 + 6y2 = 0 Combine like terms: 6y2 + 6y2 = 12y2 -4 + 2y + 12y2 = 0 Solving -4 + 2y + 12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + y + 6y2) = 0 Factor a trinomial. 2((-2 + -3y)(1 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3y)' equal to zero and attempt to solve: Simplifying -2 + -3y = 0 Solving -2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 0 + 2 -3y = 0 + 2 Combine like terms: 0 + 2 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-0.6666666667, 0.5}
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