32=2ab+2bc+2ac

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Solution for 32=2ab+2bc+2ac equation:


Simplifying
32 = 2ab + 2bc + 2ac

Reorder the terms:
32 = 2ab + 2ac + 2bc

Solving
32 = 2ab + 2ac + 2bc

Solving for variable 'a'.

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

Add '-2ab' to each side of the equation.
32 + -2ab = 2ab + 2ac + -2ab + 2bc

Reorder the terms:
32 + -2ab = 2ab + -2ab + 2ac + 2bc

Combine like terms: 2ab + -2ab = 0
32 + -2ab = 0 + 2ac + 2bc
32 + -2ab = 2ac + 2bc

Add '-2ac' to each side of the equation.
32 + -2ab + -2ac = 2ac + -2ac + 2bc

Combine like terms: 2ac + -2ac = 0
32 + -2ab + -2ac = 0 + 2bc
32 + -2ab + -2ac = 2bc

Add '-32' to each side of the equation.
32 + -2ab + -32 + -2ac = -32 + 2bc

Reorder the terms:
32 + -32 + -2ab + -2ac = -32 + 2bc

Combine like terms: 32 + -32 = 0
0 + -2ab + -2ac = -32 + 2bc
-2ab + -2ac = -32 + 2bc

Reorder the terms:
32 + -2ab + -2ac + -2bc = -32 + 2bc + 32 + -2bc

Reorder the terms:
32 + -2ab + -2ac + -2bc = -32 + 32 + 2bc + -2bc

Combine like terms: -32 + 32 = 0
32 + -2ab + -2ac + -2bc = 0 + 2bc + -2bc
32 + -2ab + -2ac + -2bc = 2bc + -2bc

Combine like terms: 2bc + -2bc = 0
32 + -2ab + -2ac + -2bc = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -1ab + -1ac + -1bc) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(16 + -1ab + -1ac + -1bc)' equal to zero and attempt to solve: Simplifying 16 + -1ab + -1ac + -1bc = 0 Solving 16 + -1ab + -1ac + -1bc = 0 Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -1ab + -1ac + -16 + -1bc = 0 + -16 Reorder the terms: 16 + -16 + -1ab + -1ac + -1bc = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1ab + -1ac + -1bc = 0 + -16 -1ab + -1ac + -1bc = 0 + -16 Combine like terms: 0 + -16 = -16 -1ab + -1ac + -1bc = -16 Add 'bc' to each side of the equation. -1ab + -1ac + -1bc + bc = -16 + bc Combine like terms: -1bc + bc = 0 -1ab + -1ac + 0 = -16 + bc -1ab + -1ac = -16 + bc 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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