-4bracket(b+1)+2b=3bracket(2b-1)

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Solution for -4bracket(b+1)+2b=3bracket(2b-1) equation: 


Simplifying
-4bracket(b + 1) + 2b = 3bracket(2b + -1)

Reorder the terms:
-4abcekrt(1 + b) + 2b = 3bracket(2b + -1)
(1 * -4abcekrt + b * -4abcekrt) + 2b = 3bracket(2b + -1)
(-4abcekrt + -4ab2cekrt) + 2b = 3bracket(2b + -1)

Reorder the terms:
-4abcekrt + -4ab2cekrt + 2b = 3abcekrt(-1 + 2b)
-4abcekrt + -4ab2cekrt + 2b = (-1 * 3abcekrt + 2b * 3abcekrt)
-4abcekrt + -4ab2cekrt + 2b = (-3abcekrt + 6ab2cekrt)

Solving
-4abcekrt + -4ab2cekrt + 2b = -3abcekrt + 6ab2cekrt

Solving for variable 'a'.

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

Add '3abcekrt' to each side of the equation.
-4abcekrt + -4ab2cekrt + 3abcekrt + 2b = -3abcekrt + 3abcekrt + 6ab2cekrt

Reorder the terms:
-4abcekrt + 3abcekrt + -4ab2cekrt + 2b = -3abcekrt + 3abcekrt + 6ab2cekrt

Combine like terms: -4abcekrt + 3abcekrt = -1abcekrt
-1abcekrt + -4ab2cekrt + 2b = -3abcekrt + 3abcekrt + 6ab2cekrt

Combine like terms: -3abcekrt + 3abcekrt = 0
-1abcekrt + -4ab2cekrt + 2b = 0 + 6ab2cekrt
-1abcekrt + -4ab2cekrt + 2b = 6ab2cekrt

Add '-6ab2cekrt' to each side of the equation.
-1abcekrt + -4ab2cekrt + -6ab2cekrt + 2b = 6ab2cekrt + -6ab2cekrt

Combine like terms: -4ab2cekrt + -6ab2cekrt = -10ab2cekrt
-1abcekrt + -10ab2cekrt + 2b = 6ab2cekrt + -6ab2cekrt

Combine like terms: 6ab2cekrt + -6ab2cekrt = 0
-1abcekrt + -10ab2cekrt + 2b = 0

Add '-2b' to each side of the equation.
-1abcekrt + -10ab2cekrt + 2b + -2b = 0 + -2b

Combine like terms: 2b + -2b = 0
-1abcekrt + -10ab2cekrt + 0 = 0 + -2b
-1abcekrt + -10ab2cekrt = 0 + -2b
Remove the zero:
-1abcekrt + -10ab2cekrt = -2b

Combine like terms: -2b + 2b = 0
-1abcekrt + -10ab2cekrt + 2b = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(-1acekrt + -10abcekrt + 2) = 0


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

Simplifying
b = 0

Solving
b = 0

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

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

Simplifying
0 = -1b

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 '(-1acekrt + -10abcekrt + 2)' equal to zero and attempt to solve:

Simplifying
-1acekrt + -10abcekrt + 2 = 0

Reorder the terms:
2 + -10abcekrt + -1acekrt = 0

Solving
2 + -10abcekrt + -1acekrt = 0

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

Add '-2' to each side of the equation.
2 + -10abcekrt + -2 + -1acekrt = 0 + -2

Reorder the terms:
2 + -2 + -10abcekrt + -1acekrt = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -10abcekrt + -1acekrt = 0 + -2
-10abcekrt + -1acekrt = 0 + -2

Combine like terms: 0 + -2 = -2
-10abcekrt + -1acekrt = -2

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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