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Simplifying 5y2 = 24y + 5 Reorder the terms: 5y2 = 5 + 24y Solving 5y2 = 5 + 24y Solving for variable 'y'. Reorder the terms: -5 + -24y + 5y2 = 5 + 24y + -5 + -24y Reorder the terms: -5 + -24y + 5y2 = 5 + -5 + 24y + -24y Combine like terms: 5 + -5 = 0 -5 + -24y + 5y2 = 0 + 24y + -24y -5 + -24y + 5y2 = 24y + -24y Combine like terms: 24y + -24y = 0 -5 + -24y + 5y2 = 0 Factor a trinomial. (-1 + -5y)(5 + -1y) = 0Subproblem 1
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 = -0.2Subproblem 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 = {-0.2, 5}
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