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Simplifying 8y2 = 46y + 399 Reorder the terms: 8y2 = 399 + 46y Solving 8y2 = 399 + 46y Solving for variable 'y'. Reorder the terms: -399 + -46y + 8y2 = 399 + 46y + -399 + -46y Reorder the terms: -399 + -46y + 8y2 = 399 + -399 + 46y + -46y Combine like terms: 399 + -399 = 0 -399 + -46y + 8y2 = 0 + 46y + -46y -399 + -46y + 8y2 = 46y + -46y Combine like terms: 46y + -46y = 0 -399 + -46y + 8y2 = 0 Factor a trinomial. (-19 + -4y)(21 + -2y) = 0Subproblem 1
Set the factor '(-19 + -4y)' equal to zero and attempt to solve: Simplifying -19 + -4y = 0 Solving -19 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -4y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -4y = 0 + 19 -4y = 0 + 19 Combine like terms: 0 + 19 = 19 -4y = 19 Divide each side by '-4'. y = -4.75 Simplifying y = -4.75Subproblem 2
Set the factor '(21 + -2y)' equal to zero and attempt to solve: Simplifying 21 + -2y = 0 Solving 21 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2y = 0 + -21 -2y = 0 + -21 Combine like terms: 0 + -21 = -21 -2y = -21 Divide each side by '-2'. y = 10.5 Simplifying y = 10.5Solution
y = {-4.75, 10.5}
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