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Simplifying (g + -5)(g + 5) = 0 Reorder the terms: (-5 + g)(g + 5) = 0 Reorder the terms: (-5 + g)(5 + g) = 0 Multiply (-5 + g) * (5 + g) (-5(5 + g) + g(5 + g)) = 0 ((5 * -5 + g * -5) + g(5 + g)) = 0 ((-25 + -5g) + g(5 + g)) = 0 (-25 + -5g + (5 * g + g * g)) = 0 (-25 + -5g + (5g + g2)) = 0 Combine like terms: -5g + 5g = 0 (-25 + 0 + g2) = 0 (-25 + g2) = 0 Solving -25 + g2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + g2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + g2 = 0 + 25 g2 = 0 + 25 Combine like terms: 0 + 25 = 25 g2 = 25 Simplifying g2 = 25 Take the square root of each side: g = {-5, 5}
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