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Simplifying (g + 4)(g + -4) = 0 Reorder the terms: (4 + g)(g + -4) = 0 Reorder the terms: (4 + g)(-4 + g) = 0 Multiply (4 + g) * (-4 + g) (4(-4 + g) + g(-4 + g)) = 0 ((-4 * 4 + g * 4) + g(-4 + g)) = 0 ((-16 + 4g) + g(-4 + g)) = 0 (-16 + 4g + (-4 * g + g * g)) = 0 (-16 + 4g + (-4g + g2)) = 0 Combine like terms: 4g + -4g = 0 (-16 + 0 + g2) = 0 (-16 + g2) = 0 Solving -16 + g2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + g2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + g2 = 0 + 16 g2 = 0 + 16 Combine like terms: 0 + 16 = 16 g2 = 16 Simplifying g2 = 16 Take the square root of each side: g = {-4, 4}
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