(3x+31)o=(2x-6)o

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Solution for (3x+31)o=(2x-6)o equation: 


Simplifying
(3x + 31) * o = (2x + -6) * o

Reorder the terms:
(31 + 3x) * o = (2x + -6) * o

Reorder the terms for easier multiplication:
o(31 + 3x) = (2x + -6) * o
(31 * o + 3x * o) = (2x + -6) * o
(31o + 3ox) = (2x + -6) * o

Reorder the terms:
31o + 3ox = (-6 + 2x) * o

Reorder the terms for easier multiplication:
31o + 3ox = o(-6 + 2x)
31o + 3ox = (-6 * o + 2x * o)
31o + 3ox = (-6o + 2ox)

Solving
31o + 3ox = -6o + 2ox

Solving for variable 'o'.

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

Add '6o' to each side of the equation.
31o + 6o + 3ox = -6o + 6o + 2ox

Combine like terms: 31o + 6o = 37o
37o + 3ox = -6o + 6o + 2ox

Combine like terms: -6o + 6o = 0
37o + 3ox = 0 + 2ox
37o + 3ox = 2ox

Add '-2ox' to each side of the equation.
37o + 3ox + -2ox = 2ox + -2ox

Combine like terms: 3ox + -2ox = 1ox
37o + 1ox = 2ox + -2ox

Combine like terms: 2ox + -2ox = 0
37o + 1ox = 0

Factor out the Greatest Common Factor (GCF), 'o'.
o(37 + x) = 0


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

Simplifying
o = 0

Solving
o = 0

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

Simplifying
o = 0

Subproblem 2
Set the factor '(37 + x)' equal to zero and attempt to solve:

Simplifying
37 + x = 0

Solving
37 + x = 0

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

Add '-37' to each side of the equation.
37 + -37 + x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + x = 0 + -37
x = 0 + -37

Combine like terms: 0 + -37 = -37
x = -37

Add '-1x' to each side of the equation.
x + -1x = -37 + -1x

Combine like terms: x + -1x = 0
0 = -37 + -1x

Simplifying
0 = -37 + -1x

The solution to this equation could not be determined.

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

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