Y^2-4y=5x+10

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Solution for Y^2-4y=5x+10 equation:


Simplifying
Y2 + -4y = 5x + 10

Reorder the terms:
Y2 + -4y = 10 + 5x

Solving
Y2 + -4y = 10 + 5x

Solving for variable 'Y'.

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

Add '4y' to each side of the equation.
Y2 + -4y + 4y = 10 + 5x + 4y

Combine like terms: -4y + 4y = 0
Y2 + 0 = 10 + 5x + 4y
Y2 = 10 + 5x + 4y

Simplifying
Y2 = 10 + 5x + 4y

Reorder the terms:
-10 + Y2 + -5x + -4y = 10 + 5x + 4y + -10 + -5x + -4y

Reorder the terms:
-10 + Y2 + -5x + -4y = 10 + -10 + 5x + -5x + 4y + -4y

Combine like terms: 10 + -10 = 0
-10 + Y2 + -5x + -4y = 0 + 5x + -5x + 4y + -4y
-10 + Y2 + -5x + -4y = 5x + -5x + 4y + -4y

Combine like terms: 5x + -5x = 0
-10 + Y2 + -5x + -4y = 0 + 4y + -4y
-10 + Y2 + -5x + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-10 + Y2 + -5x + -4y = 0

The solution to this equation could not be determined.

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