7g(4g-6h)=

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Solution for 7g(4g-6h)= equation: 


Simplifying
7g(4g + -6h) = 0
(4g * 7g + -6h * 7g) = 0

Reorder the terms:
(-42gh + 28g2) = 0
(-42gh + 28g2) = 0

Solving
-42gh + 28g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '14g'.
14g(-3h + 2g) = 0

Ignore the factor 14.

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 '(-3h + 2g)' equal to zero and attempt to solve:

Simplifying
-3h + 2g = 0

Reorder the terms:
2g + -3h = 0

Solving
2g + -3h = 0

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

Add '3h' to each side of the equation.
2g + -3h + 3h = 0 + 3h

Combine like terms: -3h + 3h = 0
2g + 0 = 0 + 3h
2g = 0 + 3h
Remove the zero:
2g = 3h

Divide each side by '2'.
g = 1.5h

Simplifying
g = 1.5h
Solution
g = {0, 1.5h}

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