-4k^2g-[5kg^2-(7k^2g-3kg^2)]=

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Solution for -4k^2g-[5kg^2-(7k^2g-3kg^2)]= equation: 


Simplifying
-4k2g + -1[5kg2 + -1(7k2g + -3kg2)] = 0
-4gk2 + -1[5g2k + (7gk2 * -1 + -3g2k * -1)] = 0
-4gk2 + -1[5g2k + (-7gk2 + 3g2k)] = 0

Reorder the terms:
-4gk2 + -1[-7gk2 + 5g2k + 3g2k] = 0

Combine like terms: 5g2k + 3g2k = 8g2k
-4gk2 + -1[-7gk2 + 8g2k] = 0
-4gk2 + [-7gk2 * -1 + 8g2k * -1] = 0
-4gk2 + [7gk2 + -8g2k] = 0

Combine like terms: -4gk2 + 7gk2 = 3gk2
3gk2 + -8g2k = 0

Solving
3gk2 + -8g2k = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'gk'.
gk(3k + -8g) = 0


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

Simplifying
gk = 0

Solving
gk = 0

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

Simplifying
gk = 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 '(3k + -8g)' equal to zero and attempt to solve:

Simplifying
3k + -8g = 0

Reorder the terms:
-8g + 3k = 0

Solving
-8g + 3k = 0

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

Add '-3k' to each side of the equation.
-8g + 3k + -3k = 0 + -3k

Combine like terms: 3k + -3k = 0
-8g + 0 = 0 + -3k
-8g = 0 + -3k
Remove the zero:
-8g = -3k

Divide each side by '-8'.
g = 0.375k

Simplifying
g = 0.375k
Solution
g = {0.375k}

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