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Simplifying 0 = 3y2 + -16y + 16 Reorder the terms: 0 = 16 + -16y + 3y2 Solving 0 = 16 + -16y + 3y2 Solving for variable 'y'. Combine like terms: 0 + -16 = -16 -16 + 16y + -3y2 = 16 + -16y + 3y2 + -16 + 16y + -3y2 Reorder the terms: -16 + 16y + -3y2 = 16 + -16 + -16y + 16y + 3y2 + -3y2 Combine like terms: 16 + -16 = 0 -16 + 16y + -3y2 = 0 + -16y + 16y + 3y2 + -3y2 -16 + 16y + -3y2 = -16y + 16y + 3y2 + -3y2 Combine like terms: -16y + 16y = 0 -16 + 16y + -3y2 = 0 + 3y2 + -3y2 -16 + 16y + -3y2 = 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -16 + 16y + -3y2 = 0 Factor a trinomial. (-4 + y)(4 + -3y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve: Simplifying 4 + -3y = 0 Solving 4 + -3y = 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 + -3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = 0 + -4 -3y = 0 + -4 Combine like terms: 0 + -4 = -4 -3y = -4 Divide each side by '-3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {4, 1.333333333}
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