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Simplifying -12 = 14y + -10y2 Solving -12 = 14y + -10y2 Solving for variable 'y'. Reorder the terms: -12 + -14y + 10y2 = 14y + -14y + -10y2 + 10y2 Combine like terms: 14y + -14y = 0 -12 + -14y + 10y2 = 0 + -10y2 + 10y2 -12 + -14y + 10y2 = -10y2 + 10y2 Combine like terms: -10y2 + 10y2 = 0 -12 + -14y + 10y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -7y + 5y2) = 0 Factor a trinomial. 2((-3 + -5y)(2 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -5y)' equal to zero and attempt to solve: Simplifying -3 + -5y = 0 Solving -3 + -5y = 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 + -5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5y = 0 + 3 -5y = 0 + 3 Combine like terms: 0 + 3 = 3 -5y = 3 Divide each side by '-5'. y = -0.6 Simplifying y = -0.6Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 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 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {-0.6, 2}
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