3a+6=(2a-2)2

Solution for 3a+6=(2a-2)2 equation:

Simplifying
3a + 6 = (2a + -2) * 2

Reorder the terms:
6 + 3a = (2a + -2) * 2

Reorder the terms:
6 + 3a = (-2 + 2a) * 2

Reorder the terms for easier multiplication:
6 + 3a = 2(-2 + 2a)
6 + 3a = (-2 * 2 + 2a * 2)
6 + 3a = (-4 + 4a)

Solving
6 + 3a = -4 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
6 + 3a + -4a = -4 + 4a + -4a

Combine like terms: 3a + -4a = -1a
6 + -1a = -4 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + -1a = -4 + 0
6 + -1a = -4

Add '-6' to each side of the equation.
6 + -6 + -1a = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = -4 + -6
-1a = -4 + -6

Combine like terms: -4 + -6 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10