8vc+32=(2c+4)(3c+5)

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Solution for 8vc+32=(2c+4)(3c+5) equation: 


Simplifying
8vc + 32 = (2c + 4)(3c + 5)

Reorder the terms:
32 + 8cv = (2c + 4)(3c + 5)

Reorder the terms:
32 + 8cv = (4 + 2c)(3c + 5)

Reorder the terms:
32 + 8cv = (4 + 2c)(5 + 3c)

Multiply (4 + 2c) * (5 + 3c)
32 + 8cv = (4(5 + 3c) + 2c * (5 + 3c))
32 + 8cv = ((5 * 4 + 3c * 4) + 2c * (5 + 3c))
32 + 8cv = ((20 + 12c) + 2c * (5 + 3c))
32 + 8cv = (20 + 12c + (5 * 2c + 3c * 2c))
32 + 8cv = (20 + 12c + (10c + 6c2))

Combine like terms: 12c + 10c = 22c
32 + 8cv = (20 + 22c + 6c2)

Solving
32 + 8cv = 20 + 22c + 6c2

Solving for variable 'c'.

Reorder the terms:
32 + -20 + -22c + 8cv + -6c2 = 20 + 22c + 6c2 + -20 + -22c + -6c2

Combine like terms: 32 + -20 = 12
12 + -22c + 8cv + -6c2 = 20 + 22c + 6c2 + -20 + -22c + -6c2

Reorder the terms:
12 + -22c + 8cv + -6c2 = 20 + -20 + 22c + -22c + 6c2 + -6c2

Combine like terms: 20 + -20 = 0
12 + -22c + 8cv + -6c2 = 0 + 22c + -22c + 6c2 + -6c2
12 + -22c + 8cv + -6c2 = 22c + -22c + 6c2 + -6c2

Combine like terms: 22c + -22c = 0
12 + -22c + 8cv + -6c2 = 0 + 6c2 + -6c2
12 + -22c + 8cv + -6c2 = 6c2 + -6c2

Combine like terms: 6c2 + -6c2 = 0
12 + -22c + 8cv + -6c2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -11c + 4cv + -3c2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(6 + -11c + 4cv + -3c2)' equal to zero and attempt to solve:

Simplifying
6 + -11c + 4cv + -3c2 = 0

Solving
6 + -11c + 4cv + -3c2 = 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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