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Simplifying 9y2 + -14y = 10y + -16 Reorder the terms: -14y + 9y2 = 10y + -16 Reorder the terms: -14y + 9y2 = -16 + 10y Solving -14y + 9y2 = -16 + 10y Solving for variable 'y'. Reorder the terms: 16 + -14y + -10y + 9y2 = -16 + 10y + 16 + -10y Combine like terms: -14y + -10y = -24y 16 + -24y + 9y2 = -16 + 10y + 16 + -10y Reorder the terms: 16 + -24y + 9y2 = -16 + 16 + 10y + -10y Combine like terms: -16 + 16 = 0 16 + -24y + 9y2 = 0 + 10y + -10y 16 + -24y + 9y2 = 10y + -10y Combine like terms: 10y + -10y = 0 16 + -24y + 9y2 = 0 Factor a trinomial. (4 + -3y)(4 + -3y) = 0Subproblem 1
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 = 1.333333333Subproblem 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 = {1.333333333, 1.333333333}
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