a^2+6a=4a-2

Solution for a^2+6a=4a-2 equation:

Simplifying
a2 + 6a = 4a + -2

Reorder the terms:
6a + a2 = 4a + -2

Reorder the terms:
6a + a2 = -2 + 4a

Solving
6a + a2 = -2 + 4a

Solving for variable 'a'.

Reorder the terms:
2 + 6a + -4a + a2 = -2 + 4a + 2 + -4a

Combine like terms: 6a + -4a = 2a
2 + 2a + a2 = -2 + 4a + 2 + -4a

Reorder the terms:
2 + 2a + a2 = -2 + 2 + 4a + -4a

Combine like terms: -2 + 2 = 0
2 + 2a + a2 = 0 + 4a + -4a
2 + 2a + a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
2 + 2a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 2a + -2 + a2 = 0 + -2

Reorder the terms:
2 + -2 + 2a + a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2a + a2 = 0 + -2
2a + a2 = 0 + -2

Combine like terms: 0 + -2 = -2
2a + a2 = -2

The a term is 2a.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2a + 1 + a2 = -2 + 1

Reorder the terms:
1 + 2a + a2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + 2a + a2 = -1

Factor a perfect square on the left side:
(a + 1)(a + 1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.