y^2-64y+3724=0

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Solution for y^2-64y+3724=0 equation:


Simplifying
y2 + -64y + 3724 = 0

Reorder the terms:
3724 + -64y + y2 = 0

Solving
3724 + -64y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-3724' to each side of the equation.
3724 + -64y + -3724 + y2 = 0 + -3724

Reorder the terms:
3724 + -3724 + -64y + y2 = 0 + -3724

Combine like terms: 3724 + -3724 = 0
0 + -64y + y2 = 0 + -3724
-64y + y2 = 0 + -3724

Combine like terms: 0 + -3724 = -3724
-64y + y2 = -3724

The y term is -64y.  Take half its coefficient (-32).
Square it (1024) and add it to both sides.

Add '1024' to each side of the equation.
-64y + 1024 + y2 = -3724 + 1024

Reorder the terms:
1024 + -64y + y2 = -3724 + 1024

Combine like terms: -3724 + 1024 = -2700
1024 + -64y + y2 = -2700

Factor a perfect square on the left side:
(y + -32)(y + -32) = -2700

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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