5y^2+6=-17y

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Solution for 5y^2+6=-17y equation:


Simplifying
5y2 + 6 = -17y

Reorder the terms:
6 + 5y2 = -17y

Solving
6 + 5y2 = -17y

Solving for variable 'y'.

Reorder the terms:
6 + 17y + 5y2 = -17y + 17y

Combine like terms: -17y + 17y = 0
6 + 17y + 5y2 = 0

Factor a trinomial.
(3 + y)(2 + 5y) = 0

Subproblem 1

Set the factor '(3 + y)' equal to zero and attempt to solve: Simplifying 3 + y = 0 Solving 3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + y = 0 + -3 y = 0 + -3 Combine like terms: 0 + -3 = -3 y = -3 Simplifying y = -3

Subproblem 2

Set the factor '(2 + 5y)' equal to zero and attempt to solve: Simplifying 2 + 5y = 0 Solving 2 + 5y = 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 + 5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5y = 0 + -2 5y = 0 + -2 Combine like terms: 0 + -2 = -2 5y = -2 Divide each side by '5'. y = -0.4 Simplifying y = -0.4

Solution

y = {-3, -0.4}

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