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

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

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

Remove parenthesis around (-2a)
3a * -2a + 6 = 2a(-2a)

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

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

Multiply a * a
-6a2 + 6 = 2a(-2a)

Reorder the terms:
6 + -6a2 = 2a(-2a)

Remove parenthesis around (-2a)
6 + -6a2 = 2a * -2a

Reorder the terms for easier multiplication:
6 + -6a2 = 2 * -2a * a

Multiply 2 * -2
6 + -6a2 = -4a * a

Multiply a * a
6 + -6a2 = -4a2

Solving
6 + -6a2 = -4a2

Solving for variable 'a'.

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

Add '4a2' to each side of the equation.
6 + -6a2 + 4a2 = -4a2 + 4a2

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

Combine like terms: -4a2 + 4a2 = 0
6 + -2a2 = 0

Add '-6' to each side of the equation.
6 + -6 + -2a2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2a2 = 0 + -6
-2a2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2a2 = -6

Divide each side by '-2'.
a2 = 3

Simplifying
a2 = 3

Take the square root of each side:
a = {-1.732050808, 1.732050808}