(6a+4b-2a)(8b+4a-12b)=

Solution for (6a+4b-2a)(8b+4a-12b)= equation:

Simplifying
(6a + 4b + -2a)(8b + 4a + -12b) = 0

Reorder the terms:
(6a + -2a + 4b)(8b + 4a + -12b) = 0

Combine like terms: 6a + -2a = 4a
(4a + 4b)(8b + 4a + -12b) = 0

Reorder the terms:
(4a + 4b)(4a + 8b + -12b) = 0

Combine like terms: 8b + -12b = -4b
(4a + 4b)(4a + -4b) = 0

Multiply (4a + 4b) * (4a + -4b)
(4a * (4a + -4b) + 4b * (4a + -4b)) = 0
((4a * 4a + -4b * 4a) + 4b * (4a + -4b)) = 0

Reorder the terms:
((-16ab + 16a2) + 4b * (4a + -4b)) = 0
((-16ab + 16a2) + 4b * (4a + -4b)) = 0
(-16ab + 16a2 + (4a * 4b + -4b * 4b)) = 0
(-16ab + 16a2 + (16ab + -16b2)) = 0

Reorder the terms:
(-16ab + 16ab + 16a2 + -16b2) = 0

Combine like terms: -16ab + 16ab = 0
(0 + 16a2 + -16b2) = 0
(16a2 + -16b2) = 0

Solving
16a2 + -16b2 = 0

Solving for variable 'a'.

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

Add '16b2' to each side of the equation.
16a2 + -16b2 + 16b2 = 0 + 16b2

Combine like terms: -16b2 + 16b2 = 0
16a2 + 0 = 0 + 16b2
16a2 = 0 + 16b2
Remove the zero:
16a2 = 16b2

Divide each side by '16'.
a2 = b2

Simplifying
a2 = b2

Take the square root of each side:
a = {-1b, b}