(4g^2)(g^2)=16g^5

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Solution for (4g^2)(g^2)=16g^5 equation:


Simplifying
(4g2)(g2) = 16g5

Remove parenthesis around (4g2)
4g2(g2) = 16g5

Multiply g2 * g2
4g4 = 16g5

Solving
4g4 = 16g5

Solving for variable 'g'.

Combine like terms: 16g5 + -16g5 = 0
4g4 + -16g5 = 0

Factor out the Greatest Common Factor (GCF), '4g4'.
4g4(1 + -4g) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'g4' equal to zero and attempt to solve: Simplifying g4 = 0 Solving g4 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g4 = 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 '(1 + -4g)' equal to zero and attempt to solve: Simplifying 1 + -4g = 0 Solving 1 + -4g = 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 + -4g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4g = 0 + -1 -4g = 0 + -1 Combine like terms: 0 + -1 = -1 -4g = -1 Divide each side by '-4'. g = 0.25 Simplifying g = 0.25

Solution

g = {0.25}

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