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

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


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

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

Reorder the terms:
12gh + (6hy + -27y) + 3g = 0
12gh + (6hy + -27y) + 3g = 0

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

Solving
3g + 12gh + 6hy + -27y = 0

Solving for variable 'g'.

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

Add '-6hy' to each side of the equation.
3g + 12gh + 6hy + -6hy + -27y = 0 + -6hy

Combine like terms: 6hy + -6hy = 0
3g + 12gh + 0 + -27y = 0 + -6hy
3g + 12gh + -27y = 0 + -6hy
Remove the zero:
3g + 12gh + -27y = -6hy

Add '27y' to each side of the equation.
3g + 12gh + -27y + 27y = -6hy + 27y

Combine like terms: -27y + 27y = 0
3g + 12gh + 0 = -6hy + 27y
3g + 12gh = -6hy + 27y

Reorder the terms:
3g + 12gh + 6hy + -27y = -6hy + 6hy + 27y + -27y

Combine like terms: -6hy + 6hy = 0
3g + 12gh + 6hy + -27y = 0 + 27y + -27y
3g + 12gh + 6hy + -27y = 27y + -27y

Combine like terms: 27y + -27y = 0
3g + 12gh + 6hy + -27y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(g + 4gh + 2hy + -9y) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(g + 4gh + 2hy + -9y)' equal to zero and attempt to solve: Simplifying g + 4gh + 2hy + -9y = 0 Solving g + 4gh + 2hy + -9y = 0 Move all terms containing g to the left, all other terms to the right. Add '-2hy' to each side of the equation. g + 4gh + 2hy + -2hy + -9y = 0 + -2hy Combine like terms: 2hy + -2hy = 0 g + 4gh + 0 + -9y = 0 + -2hy g + 4gh + -9y = 0 + -2hy Remove the zero: g + 4gh + -9y = -2hy Add '9y' to each side of the equation. g + 4gh + -9y + 9y = -2hy + 9y Combine like terms: -9y + 9y = 0 g + 4gh + 0 = -2hy + 9y g + 4gh = -2hy + 9y 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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