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Simplifying (6z + 5)(6z + -5) = 0 Reorder the terms: (5 + 6z)(6z + -5) = 0 Reorder the terms: (5 + 6z)(-5 + 6z) = 0 Multiply (5 + 6z) * (-5 + 6z) (5(-5 + 6z) + 6z * (-5 + 6z)) = 0 ((-5 * 5 + 6z * 5) + 6z * (-5 + 6z)) = 0 ((-25 + 30z) + 6z * (-5 + 6z)) = 0 (-25 + 30z + (-5 * 6z + 6z * 6z)) = 0 (-25 + 30z + (-30z + 36z2)) = 0 Combine like terms: 30z + -30z = 0 (-25 + 0 + 36z2) = 0 (-25 + 36z2) = 0 Solving -25 + 36z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 36z2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 36z2 = 0 + 25 36z2 = 0 + 25 Combine like terms: 0 + 25 = 25 36z2 = 25 Divide each side by '36'. z2 = 0.6944444444 Simplifying z2 = 0.6944444444 Take the square root of each side: z = {-0.833333333, 0.833333333}
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