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Simplifying 12y2 + 10y = 12 Reorder the terms: 10y + 12y2 = 12 Solving 10y + 12y2 = 12 Solving for variable 'y'. Reorder the terms: -12 + 10y + 12y2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 10y + 12y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 5y + 6y2) = 0 Factor a trinomial. 2((-3 + -2y)(2 + -3y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2y)' equal to zero and attempt to solve: Simplifying -3 + -2y = 0 Solving -3 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5Subproblem 2
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 = 0.6666666667Solution
y = {-1.5, 0.6666666667}
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