(6g*x)(6g+3h)=36g^2-9h^2

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Solution for (6g*x)(6g+3h)=36g^2-9h^2 equation: 


Simplifying
(6g * x)(6g + 3h) = 36g2 + -9h2

Multiply g * x
(6gx)(6g + 3h) = 36g2 + -9h2

Remove parenthesis around (6gx)
6gx(6g + 3h) = 36g2 + -9h2
(6g * 6gx + 3h * 6gx) = 36g2 + -9h2

Reorder the terms:
(18ghx + 36g2x) = 36g2 + -9h2
(18ghx + 36g2x) = 36g2 + -9h2

Solving
18ghx + 36g2x = 36g2 + -9h2

Solving for variable 'g'.

Reorder the terms:
18ghx + -36g2 + 36g2x + 9h2 = 36g2 + -9h2 + -36g2 + 9h2

Reorder the terms:
18ghx + -36g2 + 36g2x + 9h2 = 36g2 + -36g2 + -9h2 + 9h2

Combine like terms: 36g2 + -36g2 = 0
18ghx + -36g2 + 36g2x + 9h2 = 0 + -9h2 + 9h2
18ghx + -36g2 + 36g2x + 9h2 = -9h2 + 9h2

Combine like terms: -9h2 + 9h2 = 0
18ghx + -36g2 + 36g2x + 9h2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(2ghx + -4g2 + 4g2x + h2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(2ghx + -4g2 + 4g2x + h2)' equal to zero and attempt to solve:

Simplifying
2ghx + -4g2 + 4g2x + h2 = 0

Solving
2ghx + -4g2 + 4g2x + h2 = 0

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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