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Simplifying 3y2 + 29y = -56 Reorder the terms: 29y + 3y2 = -56 Solving 29y + 3y2 = -56 Solving for variable 'y'. Reorder the terms: 56 + 29y + 3y2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + 29y + 3y2 = 0 Factor a trinomial. (7 + y)(8 + 3y) = 0Subproblem 1
Set the factor '(7 + y)' equal to zero and attempt to solve: Simplifying 7 + y = 0 Solving 7 + y = 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 + y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + y = 0 + -7 y = 0 + -7 Combine like terms: 0 + -7 = -7 y = -7 Simplifying y = -7Subproblem 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 = {-7, -2.666666667}
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