3(x-1)2=6+2(y+1)2

Solution for 3(x-1)2=6+2(y+1)2 equation:

Simplifying
3(x + -1) * 2 = 6 + 2(y + 1) * 2

Reorder the terms:
3(-1 + x) * 2 = 6 + 2(y + 1) * 2

Reorder the terms for easier multiplication:
3 * 2(-1 + x) = 6 + 2(y + 1) * 2

Multiply 3 * 2
6(-1 + x) = 6 + 2(y + 1) * 2
(-1 * 6 + x * 6) = 6 + 2(y + 1) * 2
(-6 + 6x) = 6 + 2(y + 1) * 2

Reorder the terms:
-6 + 6x = 6 + 2(1 + y) * 2

Reorder the terms for easier multiplication:
-6 + 6x = 6 + 2 * 2(1 + y)

Multiply 2 * 2
-6 + 6x = 6 + 4(1 + y)
-6 + 6x = 6 + (1 * 4 + y * 4)
-6 + 6x = 6 + (4 + 4y)

Combine like terms: 6 + 4 = 10
-6 + 6x = 10 + 4y

Solving
-6 + 6x = 10 + 4y

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 6x = 10 + 6 + 4y

Combine like terms: -6 + 6 = 0
0 + 6x = 10 + 6 + 4y
6x = 10 + 6 + 4y

Combine like terms: 10 + 6 = 16
6x = 16 + 4y

Divide each side by '6'.
x = 2.666666667 + 0.6666666667y

Simplifying
x = 2.666666667 + 0.6666666667y