y^2+49y+600=0

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Solution for y^2+49y+600=0 equation: 


Simplifying
y2 + 49y + 600 = 0

Reorder the terms:
600 + 49y + y2 = 0

Solving
600 + 49y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(25 + y)(24 + y) = 0


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 '(24 + y)' equal to zero and attempt to solve:

Simplifying
24 + y = 0

Solving
24 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + y = 0 + -24

Combine like terms: 24 + -24 = 0
0 + y = 0 + -24
y = 0 + -24

Combine like terms: 0 + -24 = -24
y = -24

Simplifying
y = -24
Solution
y = {-25, -24}

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