y^2-4x-16=4u+4u^2

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Solution for y^2-4x-16=4u+4u^2 equation:


Simplifying
y2 + -4x + -16 = 4u + 4u2

Reorder the terms:
-16 + -4x + y2 = 4u + 4u2

Solving
-16 + -4x + y2 = 4u + 4u2

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + -4x + 16 + y2 = 4u + 16 + 4u2

Reorder the terms:
-16 + 16 + -4x + y2 = 4u + 16 + 4u2

Combine like terms: -16 + 16 = 0
0 + -4x + y2 = 4u + 16 + 4u2
-4x + y2 = 4u + 16 + 4u2

Reorder the terms:
-4x + y2 = 16 + 4u + 4u2

Add '-1y2' to each side of the equation.
-4x + y2 + -1y2 = 16 + 4u + 4u2 + -1y2

Combine like terms: y2 + -1y2 = 0
-4x + 0 = 16 + 4u + 4u2 + -1y2
-4x = 16 + 4u + 4u2 + -1y2

Divide each side by '-4'.
x = -4 + -1u + -1u2 + 0.25y2

Simplifying
x = -4 + -1u + -1u2 + 0.25y2

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