2(3c)+2(6b-21)2(5b-52)=180

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Solution for 2(3c)+2(6b-21)2(5b-52)=180 equation: 


Simplifying
2(3c) + 2(6b + -21) * 2(5b + -52) = 180

Remove parenthesis around (3c)
2 * 3c + 2(6b + -21) * 2(5b + -52) = 180

Multiply 2 * 3
6c + 2(6b + -21) * 2(5b + -52) = 180

Reorder the terms:
6c + 2(-21 + 6b) * 2(5b + -52) = 180

Reorder the terms:
6c + 2(-21 + 6b) * 2(-52 + 5b) = 180

Reorder the terms for easier multiplication:
6c + 2 * 2(-21 + 6b)(-52 + 5b) = 180

Multiply 2 * 2
6c + 4(-21 + 6b)(-52 + 5b) = 180

Multiply (-21 + 6b) * (-52 + 5b)
6c + 4(-21(-52 + 5b) + 6b * (-52 + 5b)) = 180
6c + 4((-52 * -21 + 5b * -21) + 6b * (-52 + 5b)) = 180
6c + 4((1092 + -105b) + 6b * (-52 + 5b)) = 180
6c + 4(1092 + -105b + (-52 * 6b + 5b * 6b)) = 180
6c + 4(1092 + -105b + (-312b + 30b2)) = 180

Combine like terms: -105b + -312b = -417b
6c + 4(1092 + -417b + 30b2) = 180
6c + (1092 * 4 + -417b * 4 + 30b2 * 4) = 180
6c + (4368 + -1668b + 120b2) = 180

Reorder the terms:
4368 + -1668b + 120b2 + 6c = 180

Solving
4368 + -1668b + 120b2 + 6c = 180

Solving for variable 'b'.

Reorder the terms:
4368 + -180 + -1668b + 120b2 + 6c = 180 + -180

Combine like terms: 4368 + -180 = 4188
4188 + -1668b + 120b2 + 6c = 180 + -180

Combine like terms: 180 + -180 = 0
4188 + -1668b + 120b2 + 6c = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(698 + -278b + 20b2 + c) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(698 + -278b + 20b2 + c)' equal to zero and attempt to solve:

Simplifying
698 + -278b + 20b2 + c = 0

Solving
698 + -278b + 20b2 + c = 0

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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