-5b(c-8)-2b(7-4c)=

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Solution for -5b(c-8)-2b(7-4c)= equation: 


Simplifying
-5b(c + -8) + -2b(7 + -4c) = 0

Reorder the terms:
-5b(-8 + c) + -2b(7 + -4c) = 0
(-8 * -5b + c * -5b) + -2b(7 + -4c) = 0
(40b + -5bc) + -2b(7 + -4c) = 0
40b + -5bc + (7 * -2b + -4c * -2b) = 0
40b + -5bc + (-14b + 8bc) = 0

Reorder the terms:
40b + -14b + -5bc + 8bc = 0

Combine like terms: 40b + -14b = 26b
26b + -5bc + 8bc = 0

Combine like terms: -5bc + 8bc = 3bc
26b + 3bc = 0

Solving
26b + 3bc = 0

Solving for variable 'b'.

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

Factor out the Greatest Common Factor (GCF), 'b'.
b(26 + 3c) = 0


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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(26 + 3c)' equal to zero and attempt to solve:

Simplifying
26 + 3c = 0

Solving
26 + 3c = 0

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

Add '-26' to each side of the equation.
26 + -26 + 3c = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 3c = 0 + -26
3c = 0 + -26

Combine like terms: 0 + -26 = -26
3c = -26

Add '-3c' to each side of the equation.
3c + -3c = -26 + -3c

Combine like terms: 3c + -3c = 0
0 = -26 + -3c

Simplifying
0 = -26 + -3c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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