y^2-40y+720=0

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Solution for y^2-40y+720=0 equation:


Simplifying
y2 + -40y + 720 = 0

Reorder the terms:
720 + -40y + y2 = 0

Solving
720 + -40y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-720' to each side of the equation.
720 + -40y + -720 + y2 = 0 + -720

Reorder the terms:
720 + -720 + -40y + y2 = 0 + -720

Combine like terms: 720 + -720 = 0
0 + -40y + y2 = 0 + -720
-40y + y2 = 0 + -720

Combine like terms: 0 + -720 = -720
-40y + y2 = -720

The y term is -40y.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40y + 400 + y2 = -720 + 400

Reorder the terms:
400 + -40y + y2 = -720 + 400

Combine like terms: -720 + 400 = -320
400 + -40y + y2 = -320

Factor a perfect square on the left side:
(y + -20)(y + -20) = -320

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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