12gh+3g(2h+9)+3g=

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Solution for 12gh+3g(2h+9)+3g= equation:


Simplifying
12gh + 3g(2h + 9) + 3g = 0

Reorder the terms:
12gh + 3g(9 + 2h) + 3g = 0
12gh + (9 * 3g + 2h * 3g) + 3g = 0
12gh + (27g + 6gh) + 3g = 0

Reorder the terms:
27g + 3g + 12gh + 6gh = 0

Combine like terms: 27g + 3g = 30g
30g + 12gh + 6gh = 0

Combine like terms: 12gh + 6gh = 18gh
30g + 18gh = 0

Solving
30g + 18gh = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '6g'.
6g(5 + 3h) = 0

Ignore the factor 6.

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 '(5 + 3h)' equal to zero and attempt to solve: Simplifying 5 + 3h = 0 Solving 5 + 3h = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3h = 0 + -5 3h = 0 + -5 Combine like terms: 0 + -5 = -5 3h = -5 Add '-3h' to each side of the equation. 3h + -3h = -5 + -3h Combine like terms: 3h + -3h = 0 0 = -5 + -3h Simplifying 0 = -5 + -3h 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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