3(x+1)(2x-b)=0

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Solution for 3(x+1)(2x-b)=0 equation: 


Simplifying
3(x + 1)(2x + -1b) = 0

Reorder the terms:
3(1 + x)(2x + -1b) = 0

Reorder the terms:
3(1 + x)(-1b + 2x) = 0

Multiply (1 + x) * (-1b + 2x)
3(1(-1b + 2x) + x(-1b + 2x)) = 0
3((-1b * 1 + 2x * 1) + x(-1b + 2x)) = 0
3((-1b + 2x) + x(-1b + 2x)) = 0
3(-1b + 2x + (-1b * x + 2x * x)) = 0
3(-1b + 2x + (-1bx + 2x2)) = 0

Reorder the terms:
3(-1b + -1bx + 2x + 2x2) = 0
3(-1b + -1bx + 2x + 2x2) = 0
(-1b * 3 + -1bx * 3 + 2x * 3 + 2x2 * 3) = 0
(-3b + -3bx + 6x + 6x2) = 0

Solving
-3b + -3bx + 6x + 6x2 = 0

Solving for variable 'b'.

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

Add '-6x' to each side of the equation.
-3b + -3bx + 6x + -6x + 6x2 = 0 + -6x

Combine like terms: 6x + -6x = 0
-3b + -3bx + 0 + 6x2 = 0 + -6x
-3b + -3bx + 6x2 = 0 + -6x
Remove the zero:
-3b + -3bx + 6x2 = -6x

Add '-6x2' to each side of the equation.
-3b + -3bx + 6x2 + -6x2 = -6x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-3b + -3bx + 0 = -6x + -6x2
-3b + -3bx = -6x + -6x2

Reorder the terms:
-3b + -3bx + 6x + 6x2 = -6x + 6x + -6x2 + 6x2

Combine like terms: -6x + 6x = 0
-3b + -3bx + 6x + 6x2 = 0 + -6x2 + 6x2
-3b + -3bx + 6x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-3b + -3bx + 6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1b + -1bx + 2x + 2x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-1b + -1bx + 2x + 2x2)' equal to zero and attempt to solve:

Simplifying
-1b + -1bx + 2x + 2x2 = 0

Solving
-1b + -1bx + 2x + 2x2 = 0

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

Add '-2x' to each side of the equation.
-1b + -1bx + 2x + -2x + 2x2 = 0 + -2x

Combine like terms: 2x + -2x = 0
-1b + -1bx + 0 + 2x2 = 0 + -2x
-1b + -1bx + 2x2 = 0 + -2x
Remove the zero:
-1b + -1bx + 2x2 = -2x

Add '-2x2' to each side of the equation.
-1b + -1bx + 2x2 + -2x2 = -2x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1b + -1bx + 0 = -2x + -2x2
-1b + -1bx = -2x + -2x2

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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