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Simplifying 10y = 4y2 + -50 Reorder the terms: 10y = -50 + 4y2 Solving 10y = -50 + 4y2 Solving for variable 'y'. Reorder the terms: 50 + 10y + -4y2 = -50 + 4y2 + 50 + -4y2 Reorder the terms: 50 + 10y + -4y2 = -50 + 50 + 4y2 + -4y2 Combine like terms: -50 + 50 = 0 50 + 10y + -4y2 = 0 + 4y2 + -4y2 50 + 10y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 50 + 10y + -4y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(25 + 5y + -2y2) = 0 Factor a trinomial. 2((5 + -1y)(5 + 2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5Subproblem 2
Set the factor '(5 + 2y)' equal to zero and attempt to solve: Simplifying 5 + 2y = 0 Solving 5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 0 + -5 2y = 0 + -5 Combine like terms: 0 + -5 = -5 2y = -5 Divide each side by '2'. y = -2.5 Simplifying y = -2.5Solution
y = {5, -2.5}
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