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Simplifying 3y2 = 4y + 64 Reorder the terms: 3y2 = 64 + 4y Solving 3y2 = 64 + 4y Solving for variable 'y'. Reorder the terms: -64 + -4y + 3y2 = 64 + 4y + -64 + -4y Reorder the terms: -64 + -4y + 3y2 = 64 + -64 + 4y + -4y Combine like terms: 64 + -64 = 0 -64 + -4y + 3y2 = 0 + 4y + -4y -64 + -4y + 3y2 = 4y + -4y Combine like terms: 4y + -4y = 0 -64 + -4y + 3y2 = 0 Factor a trinomial. (-4 + -1y)(16 + -3y) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(16 + -3y)' equal to zero and attempt to solve: Simplifying 16 + -3y = 0 Solving 16 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3y = 0 + -16 -3y = 0 + -16 Combine like terms: 0 + -16 = -16 -3y = -16 Divide each side by '-3'. y = 5.333333333 Simplifying y = 5.333333333Solution
y = {-4, 5.333333333}
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