100g^2+50g^4-120g^2h-99g^2=

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Solution for 100g^2+50g^4-120g^2h-99g^2= equation:


Simplifying
100g2 + 50g4 + -120g2h + -99g2 = 0

Reorder the terms:
100g2 + -99g2 + -120g2h + 50g4 = 0

Combine like terms: 100g2 + -99g2 = 1g2
1g2 + -120g2h + 50g4 = 0

Solving
1g2 + -120g2h + 50g4 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g2'.
g2(1 + -120h + 50g2) = 0

Subproblem 1

Set the factor 'g2' equal to zero and attempt to solve: Simplifying g2 = 0 Solving g2 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g2 = 0 Take the square root of each side: g = {0}

Subproblem 2

Set the factor '(1 + -120h + 50g2)' equal to zero and attempt to solve: Simplifying 1 + -120h + 50g2 = 0 Reorder the terms: 1 + 50g2 + -120h = 0 Solving 1 + 50g2 + -120h = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 50g2 + -1 + -120h = 0 + -1 Reorder the terms: 1 + -1 + 50g2 + -120h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 50g2 + -120h = 0 + -1 50g2 + -120h = 0 + -1 Combine like terms: 0 + -1 = -1 50g2 + -120h = -1 Add '120h' to each side of the equation. 50g2 + -120h + 120h = -1 + 120h Combine like terms: -120h + 120h = 0 50g2 + 0 = -1 + 120h 50g2 = -1 + 120h Divide each side by '50'. g2 = -0.02 + 2.4h Simplifying g2 = -0.02 + 2.4h 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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