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Simplifying 5y2 = -26y + -5 Reorder the terms: 5y2 = -5 + -26y Solving 5y2 = -5 + -26y Solving for variable 'y'. Reorder the terms: 5 + 26y + 5y2 = -5 + -26y + 5 + 26y Reorder the terms: 5 + 26y + 5y2 = -5 + 5 + -26y + 26y Combine like terms: -5 + 5 = 0 5 + 26y + 5y2 = 0 + -26y + 26y 5 + 26y + 5y2 = -26y + 26y Combine like terms: -26y + 26y = 0 5 + 26y + 5y2 = 0 Factor a trinomial. (5 + y)(1 + 5y) = 0Subproblem 1
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 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 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Subproblem 2
Set the factor '(1 + 5y)' equal to zero and attempt to solve: Simplifying 1 + 5y = 0 Solving 1 + 5y = 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 + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 0 + -1 5y = 0 + -1 Combine like terms: 0 + -1 = -1 5y = -1 Divide each side by '5'. y = -0.2 Simplifying y = -0.2Solution
y = {-5, -0.2}
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