(5g^2-6)(10g^5+4g^3-g^2)=

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Solution for (5g^2-6)(10g^5+4g^3-g^2)= equation: 


Simplifying
(5g2 + -6)(10g5 + 4g3 + -1g2) = 0

Reorder the terms:
(-6 + 5g2)(10g5 + 4g3 + -1g2) = 0

Reorder the terms:
(-6 + 5g2)(-1g2 + 4g3 + 10g5) = 0

Multiply (-6 + 5g2) * (-1g2 + 4g3 + 10g5)
(-6(-1g2 + 4g3 + 10g5) + 5g2 * (-1g2 + 4g3 + 10g5)) = 0
((-1g2 * -6 + 4g3 * -6 + 10g5 * -6) + 5g2 * (-1g2 + 4g3 + 10g5)) = 0
((6g2 + -24g3 + -60g5) + 5g2 * (-1g2 + 4g3 + 10g5)) = 0
(6g2 + -24g3 + -60g5 + (-1g2 * 5g2 + 4g3 * 5g2 + 10g5 * 5g2)) = 0
(6g2 + -24g3 + -60g5 + (-5g4 + 20g5 + 50g7)) = 0

Reorder the terms:
(6g2 + -24g3 + -5g4 + -60g5 + 20g5 + 50g7) = 0

Combine like terms: -60g5 + 20g5 = -40g5
(6g2 + -24g3 + -5g4 + -40g5 + 50g7) = 0

Solving
6g2 + -24g3 + -5g4 + -40g5 + 50g7 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'g2'.
g2(6 + -24g + -5g2 + -40g3 + 50g5) = 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 '(6 + -24g + -5g2 + -40g3 + 50g5)' equal to zero and attempt to solve:

Simplifying
6 + -24g + -5g2 + -40g3 + 50g5 = 0

Solving
6 + -24g + -5g2 + -40g3 + 50g5 = 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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