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Simplifying 5y2 + -30y = -40 Reorder the terms: -30y + 5y2 = -40 Solving -30y + 5y2 = -40 Solving for variable 'y'. Reorder the terms: 40 + -30y + 5y2 = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -30y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(8 + -6y + y2) = 0 Factor a trinomial. 5((2 + -1y)(4 + -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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4Solution
y = {2, 4}
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