5g=hg+12forg

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Solution for 5g=hg+12forg equation:


Simplifying
5g = hg + 12forg

Reorder the terms:
5g = 12fgor + gh

Solving
5g = 12fgor + gh

Solving for variable 'g'.

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

Add '-12fgor' to each side of the equation.
-12fgor + 5g = 12fgor + -12fgor + gh

Combine like terms: 12fgor + -12fgor = 0
-12fgor + 5g = 0 + gh
-12fgor + 5g = gh

Add '-1gh' to each side of the equation.
-12fgor + 5g + -1gh = gh + -1gh

Combine like terms: gh + -1gh = 0
-12fgor + 5g + -1gh = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(-12for + 5 + -1h) = 0

Subproblem 1

Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0

Subproblem 2

Set the factor '(-12for + 5 + -1h)' equal to zero and attempt to solve: Simplifying -12for + 5 + -1h = 0 Reorder the terms: 5 + -12for + -1h = 0 Solving 5 + -12for + -1h = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -12for + -5 + -1h = 0 + -5 Reorder the terms: 5 + -5 + -12for + -1h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12for + -1h = 0 + -5 -12for + -1h = 0 + -5 Combine like terms: 0 + -5 = -5 -12for + -1h = -5 Add '12for' to each side of the equation. -12for + 12for + -1h = -5 + 12for Combine like terms: -12for + 12for = 0 0 + -1h = -5 + 12for -1h = -5 + 12for Add 'h' to each side of the equation. -1h + h = -5 + 12for + h Combine like terms: -1h + h = 0 0 = -5 + 12for + h Simplifying 0 = -5 + 12for + h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

g = {0}

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