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Simplifying 3Y2 + -4Y = 64 Reorder the terms: -4Y + 3Y2 = 64 Solving -4Y + 3Y2 = 64 Solving for variable 'Y'. Reorder the terms: -64 + -4Y + 3Y2 = 64 + -64 Combine like terms: 64 + -64 = 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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