(15x+12)(2x+13)(2b+2)=

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Solution for (15x+12)(2x+13)(2b+2)= equation: 


Simplifying
(15x + 12)(2x + 13)(2b + 2) = 0

Reorder the terms:
(12 + 15x)(2x + 13)(2b + 2) = 0

Reorder the terms:
(12 + 15x)(13 + 2x)(2b + 2) = 0

Reorder the terms:
(12 + 15x)(13 + 2x)(2 + 2b) = 0

Multiply (12 + 15x) * (13 + 2x)
(12(13 + 2x) + 15x * (13 + 2x))(2 + 2b) = 0
((13 * 12 + 2x * 12) + 15x * (13 + 2x))(2 + 2b) = 0
((156 + 24x) + 15x * (13 + 2x))(2 + 2b) = 0
(156 + 24x + (13 * 15x + 2x * 15x))(2 + 2b) = 0
(156 + 24x + (195x + 30x2))(2 + 2b) = 0

Combine like terms: 24x + 195x = 219x
(156 + 219x + 30x2)(2 + 2b) = 0

Multiply (156 + 219x + 30x2) * (2 + 2b)
(156(2 + 2b) + 219x * (2 + 2b) + 30x2 * (2 + 2b)) = 0
((2 * 156 + 2b * 156) + 219x * (2 + 2b) + 30x2 * (2 + 2b)) = 0
((312 + 312b) + 219x * (2 + 2b) + 30x2 * (2 + 2b)) = 0
(312 + 312b + (2 * 219x + 2b * 219x) + 30x2 * (2 + 2b)) = 0

Reorder the terms:
(312 + 312b + (438bx + 438x) + 30x2 * (2 + 2b)) = 0
(312 + 312b + (438bx + 438x) + 30x2 * (2 + 2b)) = 0
(312 + 312b + 438bx + 438x + (2 * 30x2 + 2b * 30x2)) = 0

Reorder the terms:
(312 + 312b + 438bx + 438x + (60bx2 + 60x2)) = 0
(312 + 312b + 438bx + 438x + (60bx2 + 60x2)) = 0

Reorder the terms:
(312 + 312b + 438bx + 60bx2 + 438x + 60x2) = 0
(312 + 312b + 438bx + 60bx2 + 438x + 60x2) = 0

Solving
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = 0

Solving for variable 'b'.

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

Add '-312' to each side of the equation.
312 + 312b + 438bx + 60bx2 + 438x + -312 + 60x2 = 0 + -312

Reorder the terms:
312 + -312 + 312b + 438bx + 60bx2 + 438x + 60x2 = 0 + -312

Combine like terms: 312 + -312 = 0
0 + 312b + 438bx + 60bx2 + 438x + 60x2 = 0 + -312
312b + 438bx + 60bx2 + 438x + 60x2 = 0 + -312

Combine like terms: 0 + -312 = -312
312b + 438bx + 60bx2 + 438x + 60x2 = -312

Add '-438x' to each side of the equation.
312b + 438bx + 60bx2 + 438x + -438x + 60x2 = -312 + -438x

Combine like terms: 438x + -438x = 0
312b + 438bx + 60bx2 + 0 + 60x2 = -312 + -438x
312b + 438bx + 60bx2 + 60x2 = -312 + -438x

Add '-60x2' to each side of the equation.
312b + 438bx + 60bx2 + 60x2 + -60x2 = -312 + -438x + -60x2

Combine like terms: 60x2 + -60x2 = 0
312b + 438bx + 60bx2 + 0 = -312 + -438x + -60x2
312b + 438bx + 60bx2 = -312 + -438x + -60x2

Reorder the terms:
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = -312 + -438x + -60x2 + 312 + 438x + 60x2

Reorder the terms:
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = -312 + 312 + -438x + 438x + -60x2 + 60x2

Combine like terms: -312 + 312 = 0
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = 0 + -438x + 438x + -60x2 + 60x2
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = -438x + 438x + -60x2 + 60x2

Combine like terms: -438x + 438x = 0
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = 0 + -60x2 + 60x2
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = -60x2 + 60x2

Combine like terms: -60x2 + 60x2 = 0
312 + 312b + 438bx + 60bx2 + 438x + 60x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(52 + 52b + 73bx + 10bx2 + 73x + 10x2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(52 + 52b + 73bx + 10bx2 + 73x + 10x2)' equal to zero and attempt to solve:

Simplifying
52 + 52b + 73bx + 10bx2 + 73x + 10x2 = 0

Solving
52 + 52b + 73bx + 10bx2 + 73x + 10x2 = 0

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

Add '-52' to each side of the equation.
52 + 52b + 73bx + 10bx2 + 73x + -52 + 10x2 = 0 + -52

Reorder the terms:
52 + -52 + 52b + 73bx + 10bx2 + 73x + 10x2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 52b + 73bx + 10bx2 + 73x + 10x2 = 0 + -52
52b + 73bx + 10bx2 + 73x + 10x2 = 0 + -52

Combine like terms: 0 + -52 = -52
52b + 73bx + 10bx2 + 73x + 10x2 = -52

Add '-73x' to each side of the equation.
52b + 73bx + 10bx2 + 73x + -73x + 10x2 = -52 + -73x

Combine like terms: 73x + -73x = 0
52b + 73bx + 10bx2 + 0 + 10x2 = -52 + -73x
52b + 73bx + 10bx2 + 10x2 = -52 + -73x

Add '-10x2' to each side of the equation.
52b + 73bx + 10bx2 + 10x2 + -10x2 = -52 + -73x + -10x2

Combine like terms: 10x2 + -10x2 = 0
52b + 73bx + 10bx2 + 0 = -52 + -73x + -10x2
52b + 73bx + 10bx2 = -52 + -73x + -10x2

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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