4hg+7=12g-17

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Solution for 4hg+7=12g-17 equation:


Simplifying
4hg + 7 = 12g + -17

Reorder the terms:
7 + 4gh = 12g + -17

Reorder the terms:
7 + 4gh = -17 + 12g

Solving
7 + 4gh = -17 + 12g

Solving for variable 'g'.

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

Add '-12g' to each side of the equation.
7 + -12g + 4gh = -17 + 12g + -12g

Combine like terms: 12g + -12g = 0
7 + -12g + 4gh = -17 + 0
7 + -12g + 4gh = -17

Add '-7' to each side of the equation.
7 + -12g + -7 + 4gh = -17 + -7

Reorder the terms:
7 + -7 + -12g + 4gh = -17 + -7

Combine like terms: 7 + -7 = 0
0 + -12g + 4gh = -17 + -7
-12g + 4gh = -17 + -7

Combine like terms: -17 + -7 = -24
-12g + 4gh = -24

Reorder the terms:
24 + -12g + 4gh = -24 + 24

Combine like terms: -24 + 24 = 0
24 + -12g + 4gh = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + -3g + gh) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + -3g + gh)' equal to zero and attempt to solve: Simplifying 6 + -3g + gh = 0 Solving 6 + -3g + gh = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3g + -6 + gh = 0 + -6 Reorder the terms: 6 + -6 + -3g + gh = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3g + gh = 0 + -6 -3g + gh = 0 + -6 Combine like terms: 0 + -6 = -6 -3g + gh = -6 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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