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Simplifying (3v + 5g)(3v + -5g) = 0 Reorder the terms: (5g + 3v)(3v + -5g) = 0 Reorder the terms: (5g + 3v)(-5g + 3v) = 0 Multiply (5g + 3v) * (-5g + 3v) (5g * (-5g + 3v) + 3v * (-5g + 3v)) = 0 ((-5g * 5g + 3v * 5g) + 3v * (-5g + 3v)) = 0 Reorder the terms: ((15gv + -25g2) + 3v * (-5g + 3v)) = 0 ((15gv + -25g2) + 3v * (-5g + 3v)) = 0 (15gv + -25g2 + (-5g * 3v + 3v * 3v)) = 0 (15gv + -25g2 + (-15gv + 9v2)) = 0 Reorder the terms: (15gv + -15gv + -25g2 + 9v2) = 0 Combine like terms: 15gv + -15gv = 0 (0 + -25g2 + 9v2) = 0 (-25g2 + 9v2) = 0 Solving -25g2 + 9v2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9v2' to each side of the equation. -25g2 + 9v2 + -9v2 = 0 + -9v2 Combine like terms: 9v2 + -9v2 = 0 -25g2 + 0 = 0 + -9v2 -25g2 = 0 + -9v2 Remove the zero: -25g2 = -9v2 Divide each side by '-25'. g2 = 0.36v2 Simplifying g2 = 0.36v2 Take the square root of each side: g = {-0.6v, 0.6v}
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