5y^2=-11y-2

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Solution for 5y^2=-11y-2 equation:


Simplifying
5y2 = -11y + -2

Reorder the terms:
5y2 = -2 + -11y

Solving
5y2 = -2 + -11y

Solving for variable 'y'.

Reorder the terms:
2 + 11y + 5y2 = -2 + -11y + 2 + 11y

Reorder the terms:
2 + 11y + 5y2 = -2 + 2 + -11y + 11y

Combine like terms: -2 + 2 = 0
2 + 11y + 5y2 = 0 + -11y + 11y
2 + 11y + 5y2 = -11y + 11y

Combine like terms: -11y + 11y = 0
2 + 11y + 5y2 = 0

Factor a trinomial.
(2 + y)(1 + 5y) = 0

Subproblem 1

Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2

Subproblem 2

Set the factor '(1 + 5y)' equal to zero and attempt to solve: Simplifying 1 + 5y = 0 Solving 1 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 0 + -1 5y = 0 + -1 Combine like terms: 0 + -1 = -1 5y = -1 Divide each side by '5'. y = -0.2 Simplifying y = -0.2

Solution

y = {-2, -0.2}

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