-3y^2-17y+56=0

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Solution for -3y^2-17y+56=0 equation:


Simplifying
-3y2 + -17y + 56 = 0

Reorder the terms:
56 + -17y + -3y2 = 0

Solving
56 + -17y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -3y)(8 + y) = 0

Subproblem 1

Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333

Subproblem 2

Set the factor '(8 + y)' equal to zero and attempt to solve: Simplifying 8 + y = 0 Solving 8 + y = 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 + y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + y = 0 + -8 y = 0 + -8 Combine like terms: 0 + -8 = -8 y = -8 Simplifying y = -8

Solution

y = {2.333333333, -8}

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