Y^2+20y-400=0

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Solution for Y^2+20y-400=0 equation:


Simplifying
Y2 + 20y + -400 = 0

Reorder the terms:
-400 + Y2 + 20y = 0

Solving
-400 + Y2 + 20y = 0

Solving for variable 'Y'.

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

Add '400' to each side of the equation.
-400 + Y2 + 400 + 20y = 0 + 400

Reorder the terms:
-400 + 400 + Y2 + 20y = 0 + 400

Combine like terms: -400 + 400 = 0
0 + Y2 + 20y = 0 + 400
Y2 + 20y = 0 + 400

Combine like terms: 0 + 400 = 400
Y2 + 20y = 400

Add '-20y' to each side of the equation.
Y2 + 20y + -20y = 400 + -20y

Combine like terms: 20y + -20y = 0
Y2 + 0 = 400 + -20y
Y2 = 400 + -20y

Simplifying
Y2 = 400 + -20y

Reorder the terms:
-400 + Y2 + 20y = 400 + -20y + -400 + 20y

Reorder the terms:
-400 + Y2 + 20y = 400 + -400 + -20y + 20y

Combine like terms: 400 + -400 = 0
-400 + Y2 + 20y = 0 + -20y + 20y
-400 + Y2 + 20y = -20y + 20y

Combine like terms: -20y + 20y = 0
-400 + Y2 + 20y = 0

The solution to this equation could not be determined.

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