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Simplifying (9z + 2)(9z + -2) = 0 Reorder the terms: (2 + 9z)(9z + -2) = 0 Reorder the terms: (2 + 9z)(-2 + 9z) = 0 Multiply (2 + 9z) * (-2 + 9z) (2(-2 + 9z) + 9z * (-2 + 9z)) = 0 ((-2 * 2 + 9z * 2) + 9z * (-2 + 9z)) = 0 ((-4 + 18z) + 9z * (-2 + 9z)) = 0 (-4 + 18z + (-2 * 9z + 9z * 9z)) = 0 (-4 + 18z + (-18z + 81z2)) = 0 Combine like terms: 18z + -18z = 0 (-4 + 0 + 81z2) = 0 (-4 + 81z2) = 0 Solving -4 + 81z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 81z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 81z2 = 0 + 4 81z2 = 0 + 4 Combine like terms: 0 + 4 = 4 81z2 = 4 Divide each side by '81'. z2 = 0.04938271605 Simplifying z2 = 0.04938271605 Take the square root of each side: z = {-0.222222222, 0.222222222}
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