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Simplifying 5y2 = 19y + 4 Reorder the terms: 5y2 = 4 + 19y Solving 5y2 = 4 + 19y Solving for variable 'y'. Reorder the terms: -4 + -19y + 5y2 = 4 + 19y + -4 + -19y Reorder the terms: -4 + -19y + 5y2 = 4 + -4 + 19y + -19y Combine like terms: 4 + -4 = 0 -4 + -19y + 5y2 = 0 + 19y + -19y -4 + -19y + 5y2 = 19y + -19y Combine like terms: 19y + -19y = 0 -4 + -19y + 5y2 = 0 Factor a trinomial. (-1 + -5y)(4 + -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 '(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 = {-0.2, 4}
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