6g^2(3g^3+4g^2+10g-1)=0

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Solution for 6g^2(3g^3+4g^2+10g-1)=0 equation:


Simplifying
6g2(3g3 + 4g2 + 10g + -1) = 0

Reorder the terms:
6g2(-1 + 10g + 4g2 + 3g3) = 0
(-1 * 6g2 + 10g * 6g2 + 4g2 * 6g2 + 3g3 * 6g2) = 0
(-6g2 + 60g3 + 24g4 + 18g5) = 0

Solving
-6g2 + 60g3 + 24g4 + 18g5 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '6g2'.
6g2(-1 + 10g + 4g2 + 3g3) = 0

Ignore the factor 6.

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 + 10g + 4g2 + 3g3)' equal to zero and attempt to solve: Simplifying -1 + 10g + 4g2 + 3g3 = 0 Solving -1 + 10g + 4g2 + 3g3 = 0 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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