2y^2+60y+250=0

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Solution for 2y^2+60y+250=0 equation:


Simplifying
2y2 + 60y + 250 = 0

Reorder the terms:
250 + 60y + 2y2 = 0

Solving
250 + 60y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(125 + 30y + y2) = 0

Factor a trinomial.
2((25 + y)(5 + y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(25 + y)' equal to zero and attempt to solve: Simplifying 25 + y = 0 Solving 25 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + y = 0 + -25 y = 0 + -25 Combine like terms: 0 + -25 = -25 y = -25 Simplifying y = -25

Subproblem 2

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

Solution

y = {-25, -5}

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