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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 = 8g g(8 + 8g + 2g2) = 0 (8 * g + 8g * g + 2g2 * g) = 0 (8g + 8g2 + 2g3) = 0 Solving 8g + 8g2 + 2g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2g'. 2g(4 + 4g + g2) = 0 Factor a trinomial. 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 = 0Subproblem 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 = -2Subproblem 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 = -2Solution
g = {0, -2, -2}
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