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Simplifying y(15y + 14) = 16 Reorder the terms: y(14 + 15y) = 16 (14 * y + 15y * y) = 16 (14y + 15y2) = 16 Solving 14y + 15y2 = 16 Solving for variable 'y'. Reorder the terms: -16 + 14y + 15y2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 14y + 15y2 = 0 Factor a trinomial. (-8 + -5y)(2 + -3y) = 0Subproblem 1
Set the factor '(-8 + -5y)' equal to zero and attempt to solve: Simplifying -8 + -5y = 0 Solving -8 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5y = 0 + 8 -5y = 0 + 8 Combine like terms: 0 + 8 = 8 -5y = 8 Divide each side by '-5'. y = -1.6 Simplifying y = -1.6Subproblem 2
Set the factor '(2 + -3y)' equal to zero and attempt to solve: Simplifying 2 + -3y = 0 Solving 2 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 0 + -2 -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -3y = -2 Divide each side by '-3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {-1.6, 0.6666666667}
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