y^2+4y+25=0

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Solution for y^2+4y+25=0 equation:


Simplifying
y2 + 4y + 25 = 0

Reorder the terms:
25 + 4y + y2 = 0

Solving
25 + 4y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 4y + -25 + y2 = 0 + -25

Reorder the terms:
25 + -25 + 4y + y2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 4y + y2 = 0 + -25
4y + y2 = 0 + -25

Combine like terms: 0 + -25 = -25
4y + y2 = -25

The y term is 4y.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4y + 4 + y2 = -25 + 4

Reorder the terms:
4 + 4y + y2 = -25 + 4

Combine like terms: -25 + 4 = -21
4 + 4y + y2 = -21

Factor a perfect square on the left side:
(y + 2)(y + 2) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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