(B-2X)*(B-2X)*X=0

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Solution for (B-2X)*(B-2X)*X=0 equation: 


Simplifying
(B + -2X)(B + -2X) * X = 0

Reorder the terms for easier multiplication:
X(B + -2X)(B + -2X) = 0

Multiply (B + -2X) * (B + -2X)
X(B(B + -2X) + -2X * (B + -2X)) = 0
X((B * B + -2X * B) + -2X * (B + -2X)) = 0

Reorder the terms:
X((-2BX + B2) + -2X * (B + -2X)) = 0
X((-2BX + B2) + -2X * (B + -2X)) = 0
X(-2BX + B2 + (B * -2X + -2X * -2X)) = 0
X(-2BX + B2 + (-2BX + 4X2)) = 0

Reorder the terms:
X(-2BX + -2BX + B2 + 4X2) = 0

Combine like terms: -2BX + -2BX = -4BX
X(-4BX + B2 + 4X2) = 0
(-4BX * X + B2 * X + 4X2 * X) = 0
(-4BX2 + B2X + 4X3) = 0

Solving
-4BX2 + B2X + 4X3 = 0

Solving for variable 'B'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(-4BX + B2 + 4X2) = 0

Factor a trinomial.
X((B + -2X)(B + -2X)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Add '-1X' to each side of the equation.
X + -1X = 0 + -1X
Remove the zero:
0 = -1X

Simplifying
0 = -1X

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 '(B + -2X)' equal to zero and attempt to solve:

Simplifying
B + -2X = 0

Solving
B + -2X = 0

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

Add '2X' to each side of the equation.
B + -2X + 2X = 0 + 2X

Combine like terms: -2X + 2X = 0
B + 0 = 0 + 2X
B = 0 + 2X
Remove the zero:
B = 2X

Simplifying
B = 2X

Subproblem 3
Set the factor '(B + -2X)' equal to zero and attempt to solve:

Simplifying
B + -2X = 0

Solving
B + -2X = 0

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

Add '2X' to each side of the equation.
B + -2X + 2X = 0 + 2X

Combine like terms: -2X + 2X = 0
B + 0 = 0 + 2X
B = 0 + 2X
Remove the zero:
B = 2X

Simplifying
B = 2X
Solution
B = {2X, 2X}

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