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Simplifying (11z + 10)(11z + -10) = 0 Reorder the terms: (10 + 11z)(11z + -10) = 0 Reorder the terms: (10 + 11z)(-10 + 11z) = 0 Multiply (10 + 11z) * (-10 + 11z) (10(-10 + 11z) + 11z * (-10 + 11z)) = 0 ((-10 * 10 + 11z * 10) + 11z * (-10 + 11z)) = 0 ((-100 + 110z) + 11z * (-10 + 11z)) = 0 (-100 + 110z + (-10 * 11z + 11z * 11z)) = 0 (-100 + 110z + (-110z + 121z2)) = 0 Combine like terms: 110z + -110z = 0 (-100 + 0 + 121z2) = 0 (-100 + 121z2) = 0 Solving -100 + 121z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 121z2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 121z2 = 0 + 100 121z2 = 0 + 100 Combine like terms: 0 + 100 = 100 121z2 = 100 Divide each side by '121'. z2 = 0.826446281 Simplifying z2 = 0.826446281 Take the square root of each side: z = {-0.909090909, 0.909090909}
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