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Simplifying (3g + 9h)(3g + -9h) = 0 Multiply (3g + 9h) * (3g + -9h) (3g * (3g + -9h) + 9h * (3g + -9h)) = 0 ((3g * 3g + -9h * 3g) + 9h * (3g + -9h)) = 0 Reorder the terms: ((-27gh + 9g2) + 9h * (3g + -9h)) = 0 ((-27gh + 9g2) + 9h * (3g + -9h)) = 0 (-27gh + 9g2 + (3g * 9h + -9h * 9h)) = 0 (-27gh + 9g2 + (27gh + -81h2)) = 0 Reorder the terms: (-27gh + 27gh + 9g2 + -81h2) = 0 Combine like terms: -27gh + 27gh = 0 (0 + 9g2 + -81h2) = 0 (9g2 + -81h2) = 0 Solving 9g2 + -81h2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '81h2' to each side of the equation. 9g2 + -81h2 + 81h2 = 0 + 81h2 Combine like terms: -81h2 + 81h2 = 0 9g2 + 0 = 0 + 81h2 9g2 = 0 + 81h2 Remove the zero: 9g2 = 81h2 Divide each side by '9'. g2 = 9h2 Simplifying g2 = 9h2 Take the square root of each side: g = {-3h, 3h}
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