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Simplifying 6y2 = 4 + -10y Solving 6y2 = 4 + -10y Solving for variable 'y'. Reorder the terms: -4 + 10y + 6y2 = 4 + -10y + -4 + 10y Reorder the terms: -4 + 10y + 6y2 = 4 + -4 + -10y + 10y Combine like terms: 4 + -4 = 0 -4 + 10y + 6y2 = 0 + -10y + 10y -4 + 10y + 6y2 = -10y + 10y Combine like terms: -10y + 10y = 0 -4 + 10y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 5y + 3y2) = 0 Factor a trinomial. 2((-2 + -1y)(1 + -3y)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 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 = {-2, 0.3333333333}
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