(3a-4)*2c*(2b+1)=

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Solution for (3a-4)*2c*(2b+1)= equation:


Simplifying
(3a + -4) * 2c(2b + 1) = 0

Reorder the terms:
(-4 + 3a) * 2c(2b + 1) = 0

Reorder the terms:
(-4 + 3a) * 2c(1 + 2b) = 0

Reorder the terms for easier multiplication:
2c(-4 + 3a)(1 + 2b) = 0

Multiply (-4 + 3a) * (1 + 2b)
2c(-4(1 + 2b) + 3a * (1 + 2b)) = 0
2c((1 * -4 + 2b * -4) + 3a * (1 + 2b)) = 0
2c((-4 + -8b) + 3a * (1 + 2b)) = 0
2c(-4 + -8b + (1 * 3a + 2b * 3a)) = 0
2c(-4 + -8b + (3a + 6ab)) = 0

Reorder the terms:
2c(-4 + 3a + 6ab + -8b) = 0
2c(-4 + 3a + 6ab + -8b) = 0
(-4 * 2c + 3a * 2c + 6ab * 2c + -8b * 2c) = 0

Reorder the terms:
(12abc + 6ac + -16bc + -8c) = 0
(12abc + 6ac + -16bc + -8c) = 0

Solving
12abc + 6ac + -16bc + -8c = 0

Solving for variable 'a'.

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

Add '16bc' to each side of the equation.
12abc + 6ac + -16bc + 16bc + -8c = 0 + 16bc

Combine like terms: -16bc + 16bc = 0
12abc + 6ac + 0 + -8c = 0 + 16bc
12abc + 6ac + -8c = 0 + 16bc
Remove the zero:
12abc + 6ac + -8c = 16bc

Add '8c' to each side of the equation.
12abc + 6ac + -8c + 8c = 16bc + 8c

Combine like terms: -8c + 8c = 0
12abc + 6ac + 0 = 16bc + 8c
12abc + 6ac = 16bc + 8c

Reorder the terms:
12abc + 6ac + -16bc + -8c = 16bc + -16bc + 8c + -8c

Combine like terms: 16bc + -16bc = 0
12abc + 6ac + -16bc + -8c = 0 + 8c + -8c
12abc + 6ac + -16bc + -8c = 8c + -8c

Combine like terms: 8c + -8c = 0
12abc + 6ac + -16bc + -8c = 0

Factor out the Greatest Common Factor (GCF), '2c'.
2c(6ab + 3a + -8b + -4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(6ab + 3a + -8b + -4)' equal to zero and attempt to solve: Simplifying 6ab + 3a + -8b + -4 = 0 Reorder the terms: -4 + 3a + 6ab + -8b = 0 Solving -4 + 3a + 6ab + -8b = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3a + 6ab + 4 + -8b = 0 + 4 Reorder the terms: -4 + 4 + 3a + 6ab + -8b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3a + 6ab + -8b = 0 + 4 3a + 6ab + -8b = 0 + 4 Combine like terms: 0 + 4 = 4 3a + 6ab + -8b = 4 Add '8b' to each side of the equation. 3a + 6ab + -8b + 8b = 4 + 8b Combine like terms: -8b + 8b = 0 3a + 6ab + 0 = 4 + 8b 3a + 6ab = 4 + 8b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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