5+b(-15-14x)=b(21x+10)

Solution for 5+b(-15-14x)=b(21x+10) equation:

Simplifying
5 + b(-15 + -14x) = b(21x + 10)
5 + (-15 * b + -14x * b) = b(21x + 10)
5 + (-15b + -14bx) = b(21x + 10)

Reorder the terms:
5 + -15b + -14bx = b(10 + 21x)
5 + -15b + -14bx = (10 * b + 21x * b)
5 + -15b + -14bx = (10b + 21bx)

Solving
5 + -15b + -14bx = 10b + 21bx

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
5 + -15b + -10b + -14bx = 10b + -10b + 21bx

Combine like terms: -15b + -10b = -25b
5 + -25b + -14bx = 10b + -10b + 21bx

Combine like terms: 10b + -10b = 0
5 + -25b + -14bx = 0 + 21bx
5 + -25b + -14bx = 21bx

Add '-21bx' to each side of the equation.
5 + -25b + -14bx + -21bx = 21bx + -21bx

Combine like terms: -14bx + -21bx = -35bx
5 + -25b + -35bx = 21bx + -21bx

Combine like terms: 21bx + -21bx = 0
5 + -25b + -35bx = 0

Add '-5' to each side of the equation.
5 + -25b + -5 + -35bx = 0 + -5

Reorder the terms:
5 + -5 + -25b + -35bx = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -25b + -35bx = 0 + -5
-25b + -35bx = 0 + -5

Combine like terms: 0 + -5 = -5
-25b + -35bx = -5

Reorder the terms:
5 + -25b + -35bx = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -25b + -35bx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + -5b + -7bx) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(1 + -5b + -7bx)' equal to zero and attempt to solve:

Simplifying
1 + -5b + -7bx = 0

Solving
1 + -5b + -7bx = 0

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

Add '-1' to each side of the equation.
1 + -5b + -1 + -7bx = 0 + -1

Reorder the terms:
1 + -1 + -5b + -7bx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5b + -7bx = 0 + -1
-5b + -7bx = 0 + -1

Combine like terms: 0 + -1 = -1
-5b + -7bx = -1

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.