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Simplifying (yz + 6)(yz + -6) = 0 Reorder the terms: (6 + yz)(yz + -6) = 0 Reorder the terms: (6 + yz)(-6 + yz) = 0 Multiply (6 + yz) * (-6 + yz) (6(-6 + yz) + yz(-6 + yz)) = 0 ((-6 * 6 + yz * 6) + yz(-6 + yz)) = 0 ((-36 + 6yz) + yz(-6 + yz)) = 0 (-36 + 6yz + (-6 * yz + yz * yz)) = 0 (-36 + 6yz + (-6yz + y2z2)) = 0 Combine like terms: 6yz + -6yz = 0 (-36 + 0 + y2z2) = 0 (-36 + y2z2) = 0 Solving -36 + y2z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + y2z2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + y2z2 = 0 + 36 y2z2 = 0 + 36 Combine like terms: 0 + 36 = 36 y2z2 = 36 Divide each side by 'z2'. y2 = 36z-2 Simplifying y2 = 36z-2 Take the square root of each side: y = {-6z-1, 6z-1}
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