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Simplifying 5y2 + 50 = 35y Reorder the terms: 50 + 5y2 = 35y Solving 50 + 5y2 = 35y Solving for variable 'y'. Reorder the terms: 50 + -35y + 5y2 = 35y + -35y Combine like terms: 35y + -35y = 0 50 + -35y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(10 + -7y + y2) = 0 Factor a trinomial. 5((2 + -1y)(5 + -1y)) = 0 Ignore the factor 5.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 '(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 = 5Solution
y = {2, 5}
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