30x^3-81x^2-2bx^2+6bx=0

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Solution for 30x^3-81x^2-2bx^2+6bx=0 equation: 


Simplifying
30x3 + -81x2 + -2bx2 + 6bx = 0

Reorder the terms:
6bx + -2bx2 + -81x2 + 30x3 = 0

Solving
6bx + -2bx2 + -81x2 + 30x3 = 0

Solving for variable 'b'.

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

Add '81x2' to each side of the equation.
6bx + -2bx2 + -81x2 + 81x2 + 30x3 = 0 + 81x2

Combine like terms: -81x2 + 81x2 = 0
6bx + -2bx2 + 0 + 30x3 = 0 + 81x2
6bx + -2bx2 + 30x3 = 0 + 81x2
Remove the zero:
6bx + -2bx2 + 30x3 = 81x2

Add '-30x3' to each side of the equation.
6bx + -2bx2 + 30x3 + -30x3 = 81x2 + -30x3

Combine like terms: 30x3 + -30x3 = 0
6bx + -2bx2 + 0 = 81x2 + -30x3
6bx + -2bx2 = 81x2 + -30x3

Reorder the terms:
6bx + -2bx2 + -81x2 + 30x3 = 81x2 + -81x2 + -30x3 + 30x3

Combine like terms: 81x2 + -81x2 = 0
6bx + -2bx2 + -81x2 + 30x3 = 0 + -30x3 + 30x3
6bx + -2bx2 + -81x2 + 30x3 = -30x3 + 30x3

Combine like terms: -30x3 + 30x3 = 0
6bx + -2bx2 + -81x2 + 30x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6b + -2bx + -81x + 30x2) = 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 '(6b + -2bx + -81x + 30x2)' equal to zero and attempt to solve:

Simplifying
6b + -2bx + -81x + 30x2 = 0

Solving
6b + -2bx + -81x + 30x2 = 0

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

Add '81x' to each side of the equation.
6b + -2bx + -81x + 81x + 30x2 = 0 + 81x

Combine like terms: -81x + 81x = 0
6b + -2bx + 0 + 30x2 = 0 + 81x
6b + -2bx + 30x2 = 0 + 81x
Remove the zero:
6b + -2bx + 30x2 = 81x

Add '-30x2' to each side of the equation.
6b + -2bx + 30x2 + -30x2 = 81x + -30x2

Combine like terms: 30x2 + -30x2 = 0
6b + -2bx + 0 = 81x + -30x2
6b + -2bx = 81x + -30x2

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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