x-21=((y-4)(y-4))

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Solution for x-21=((y-4)(y-4)) equation: 


Simplifying
x + -21 = ((y + -4)(y + -4))

Reorder the terms:
-21 + x = ((y + -4)(y + -4))

Reorder the terms:
-21 + x = ((-4 + y)(y + -4))

Reorder the terms:
-21 + x = ((-4 + y)(-4 + y))

Multiply (-4 + y) * (-4 + y)
-21 + x = ((-4(-4 + y) + y(-4 + y)))
-21 + x = (((-4 * -4 + y * -4) + y(-4 + y)))
-21 + x = (((16 + -4y) + y(-4 + y)))
-21 + x = ((16 + -4y + (-4 * y + y * y)))
-21 + x = ((16 + -4y + (-4y + y2)))

Combine like terms: -4y + -4y = -8y
-21 + x = ((16 + -8y + y2))
-21 + x = (16 + -8y + y2)

Remove parenthesis around (16 + -8y + y2)
-21 + x = 16 + -8y + y2

Solving
-21 + x = 16 + -8y + y2

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + x = 16 + -8y + 21 + y2

Combine like terms: -21 + 21 = 0
0 + x = 16 + -8y + 21 + y2
x = 16 + -8y + 21 + y2

Reorder the terms:
x = 16 + 21 + -8y + y2

Combine like terms: 16 + 21 = 37
x = 37 + -8y + y2

Simplifying
x = 37 + -8y + y2

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