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Simplifying 6y2 + 5y + -40 = 16 Reorder the terms: -40 + 5y + 6y2 = 16 Solving -40 + 5y + 6y2 = 16 Solving for variable 'y'. Reorder the terms: -40 + -16 + 5y + 6y2 = 16 + -16 Combine like terms: -40 + -16 = -56 -56 + 5y + 6y2 = 16 + -16 Combine like terms: 16 + -16 = 0 -56 + 5y + 6y2 = 0 Factor a trinomial. (-7 + -2y)(8 + -3y) = 0Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve: Simplifying -7 + -2y = 0 Solving -7 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2y = 0 + 7 -2y = 0 + 7 Combine like terms: 0 + 7 = 7 -2y = 7 Divide each side by '-2'. y = -3.5 Simplifying y = -3.5Subproblem 2
Set the factor '(8 + -3y)' equal to zero and attempt to solve: Simplifying 8 + -3y = 0 Solving 8 + -3y = 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 + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = 0 + -8 -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667Solution
y = {-3.5, 2.666666667}
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