-3g^7(g^4-6g^2+5)=

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Solution for -3g^7(g^4-6g^2+5)= equation: 


Simplifying
-3g7(g4 + -6g2 + 5) = 0

Reorder the terms:
-3g7(5 + -6g2 + g4) = 0
(5 * -3g7 + -6g2 * -3g7 + g4 * -3g7) = 0
(-15g7 + 18g9 + -3g11) = 0

Solving
-15g7 + 18g9 + -3g11 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3g7'.
3g7(-5 + 6g2 + -1g4) = 0

Factor a trinomial.
3g7((-5 + g2)(1 + -1g2)) = 0

Factor a difference between two squares.
3g7((-5 + g2)((1 + g)(1 + -1g))) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'g7' equal to zero and attempt to solve:

Simplifying
g7 = 0

Solving
g7 = 0

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

Simplifying
g7 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-5 + g2)' equal to zero and attempt to solve:

Simplifying
-5 + g2 = 0

Solving
-5 + g2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + g2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + g2 = 0 + 5
g2 = 0 + 5

Combine like terms: 0 + 5 = 5
g2 = 5

Simplifying
g2 = 5

Take the square root of each side:
g = {-2.236067978, 2.236067978}

Subproblem 3
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 0

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

Add '-1' to each side of the equation.
1 + -1 + g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + g = 0 + -1
g = 0 + -1

Combine like terms: 0 + -1 = -1
g = -1

Simplifying
g = -1

Subproblem 4
Set the factor '(1 + -1g)' equal to zero and attempt to solve:

Simplifying
1 + -1g = 0

Solving
1 + -1g = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1g = 0 + -1
-1g = 0 + -1

Combine like terms: 0 + -1 = -1
-1g = -1

Divide each side by '-1'.
g = 1

Simplifying
g = 1
Solution
g = {-2.236067978, 2.236067978, -1, 1}

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