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Simplifying (12g + -5)(12g + 5) = 0 Reorder the terms: (-5 + 12g)(12g + 5) = 0 Reorder the terms: (-5 + 12g)(5 + 12g) = 0 Multiply (-5 + 12g) * (5 + 12g) (-5(5 + 12g) + 12g * (5 + 12g)) = 0 ((5 * -5 + 12g * -5) + 12g * (5 + 12g)) = 0 ((-25 + -60g) + 12g * (5 + 12g)) = 0 (-25 + -60g + (5 * 12g + 12g * 12g)) = 0 (-25 + -60g + (60g + 144g2)) = 0 Combine like terms: -60g + 60g = 0 (-25 + 0 + 144g2) = 0 (-25 + 144g2) = 0 Solving -25 + 144g2 = 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 + 144g2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 144g2 = 0 + 25 144g2 = 0 + 25 Combine like terms: 0 + 25 = 25 144g2 = 25 Divide each side by '144'. g2 = 0.1736111111 Simplifying g2 = 0.1736111111 Take the square root of each side: g = {-0.416666667, 0.416666667}
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