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Simplifying 5y2 + 40y = 325 Reorder the terms: 40y + 5y2 = 325 Solving 40y + 5y2 = 325 Solving for variable 'y'. Reorder the terms: -325 + 40y + 5y2 = 325 + -325 Combine like terms: 325 + -325 = 0 -325 + 40y + 5y2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-65 + 8y + y2) = 0 Factor a trinomial. 5((-13 + -1y)(5 + -1y)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-13 + -1y)' equal to zero and attempt to solve: Simplifying -13 + -1y = 0 Solving -13 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = 0 + 13 -1y = 0 + 13 Combine like terms: 0 + 13 = 13 -1y = 13 Divide each side by '-1'. y = -13 Simplifying y = -13Subproblem 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 = {-13, 5}
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