(x-2)2=3(y+1)

Solution for (x-2)2=3(y+1) equation:

Simplifying
(x + -2) * 2 = 3(y + 1)

Reorder the terms:
(-2 + x) * 2 = 3(y + 1)

Reorder the terms for easier multiplication:
2(-2 + x) = 3(y + 1)
(-2 * 2 + x * 2) = 3(y + 1)
(-4 + 2x) = 3(y + 1)

Reorder the terms:
-4 + 2x = 3(1 + y)
-4 + 2x = (1 * 3 + y * 3)
-4 + 2x = (3 + 3y)

Solving
-4 + 2x = 3 + 3y

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = 3 + 4 + 3y

Combine like terms: -4 + 4 = 0
0 + 2x = 3 + 4 + 3y
2x = 3 + 4 + 3y

Combine like terms: 3 + 4 = 7
2x = 7 + 3y

Divide each side by '2'.
x = 3.5 + 1.5y

Simplifying
x = 3.5 + 1.5y