solve step by step
12a^2b - 4ab + 8b = 4b(3a^2 - a + 2)
12a^2b - 4ab + 8b = 4b(3a^2 - a + 2)
Simplifying
12a2b + -4ab + 8b = 4b(3a2 + -1a + 2)
Reorder the terms:
-4ab + 12a2b + 8b = 4b(3a2 + -1a + 2)
Reorder the terms:
-4ab + 12a2b + 8b = 4b(2 + -1a + 3a2)
-4ab + 12a2b + 8b = (2 * 4b + -1a * 4b + 3a2 * 4b)
Reorder the terms:
-4ab + 12a2b + 8b = (-4ab + 12a2b + 8b)
-4ab + 12a2b + 8b = (-4ab + 12a2b + 8b)
Add '4ab' to each side of the equation.
-4ab + 12a2b + 4ab + 8b = -4ab + 12a2b + 4ab + 8b
Reorder the terms:
-4ab + 4ab + 12a2b + 8b = -4ab + 12a2b + 4ab + 8b
Combine like terms: -4ab + 4ab = 0
0 + 12a2b + 8b = -4ab + 12a2b + 4ab + 8b
12a2b + 8b = -4ab + 12a2b + 4ab + 8b
Reorder the terms:
12a2b + 8b = -4ab + 4ab + 12a2b + 8b
Combine like terms: -4ab + 4ab = 0
12a2b + 8b = 0 + 12a2b + 8b
12a2b + 8b = 12a2b + 8b
Add '-12a2b' to each side of the equation.
12a2b + -12a2b + 8b = 12a2b + -12a2b + 8b
Combine like terms: 12a2b + -12a2b = 0
0 + 8b = 12a2b + -12a2b + 8b
8b = 12a2b + -12a2b + 8b
Combine like terms: 12a2b + -12a2b = 0
8b = 0 + 8b
8b = 8b
Add '-8b' to each side of the equation.
8b + -8b = 8b + -8b
Combine like terms: 8b + -8b = 0
0 = 8b + -8b
Combine like terms: 8b + -8b = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity,
all real numbers are solutions.
