g(2g+4)(g-2)=0

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Solution for g(2g+4)(g-2)=0 equation:


Simplifying
g(2g + 4)(g + -2) = 0

Reorder the terms:
g(4 + 2g)(g + -2) = 0

Reorder the terms:
g(4 + 2g)(-2 + g) = 0

Multiply (4 + 2g) * (-2 + g)
g(4(-2 + g) + 2g * (-2 + g)) = 0
g((-2 * 4 + g * 4) + 2g * (-2 + g)) = 0
g((-8 + 4g) + 2g * (-2 + g)) = 0
g(-8 + 4g + (-2 * 2g + g * 2g)) = 0
g(-8 + 4g + (-4g + 2g2)) = 0

Combine like terms: 4g + -4g = 0
g(-8 + 0 + 2g2) = 0
g(-8 + 2g2) = 0
(-8 * g + 2g2 * g) = 0
(-8g + 2g3) = 0

Solving
-8g + 2g3 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2g'.
2g(-4 + g2) = 0

Factor a difference between two squares.
2g((2 + g)(-2 + g)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0

Subproblem 2

Set the factor '(2 + g)' equal to zero and attempt to solve: Simplifying 2 + g = 0 Solving 2 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + g = 0 + -2 g = 0 + -2 Combine like terms: 0 + -2 = -2 g = -2 Simplifying g = -2

Subproblem 3

Set the factor '(-2 + g)' equal to zero and attempt to solve: Simplifying -2 + g = 0 Solving -2 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + g = 0 + 2 g = 0 + 2 Combine like terms: 0 + 2 = 2 g = 2 Simplifying g = 2

Solution

g = {0, -2, 2}

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