=4b^3c-8b^2c^2

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Solution for =4b^3c-8b^2c^2 equation:


Simplifying
0 = 4b3c + -8b2c2

Reorder the terms:
0 = -8b2c2 + 4b3c

Solving
0 = -8b2c2 + 4b3c

Solving for variable 'b'.
Remove the zero:
8b2c2 + -4b3c = -8b2c2 + 4b3c + 8b2c2 + -4b3c

Reorder the terms:
8b2c2 + -4b3c = -8b2c2 + 8b2c2 + 4b3c + -4b3c

Combine like terms: -8b2c2 + 8b2c2 = 0
8b2c2 + -4b3c = 0 + 4b3c + -4b3c
8b2c2 + -4b3c = 4b3c + -4b3c

Combine like terms: 4b3c + -4b3c = 0
8b2c2 + -4b3c = 0

Factor out the Greatest Common Factor (GCF), '4b2c'.
4b2c(2c + -1b) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'b2c' equal to zero and attempt to solve: Simplifying b2c = 0 Solving b2c = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b2c = 0 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 '(2c + -1b)' equal to zero and attempt to solve: Simplifying 2c + -1b = 0 Reorder the terms: -1b + 2c = 0 Solving -1b + 2c = 0 Move all terms containing b to the left, all other terms to the right. Add '-2c' to each side of the equation. -1b + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 -1b + 0 = 0 + -2c -1b = 0 + -2c Remove the zero: -1b = -2c Divide each side by '-1'. b = 2c Simplifying b = 2c

Solution

b = {2c}

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