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Simplifying 100 = z(z) Multiply z * z 100 = z2 Solving 100 = z2 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z2' to each side of the equation. 100 + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 100 + -1z2 = 0 Add '-100' to each side of the equation. 100 + -100 + -1z2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1z2 = 0 + -100 -1z2 = 0 + -100 Combine like terms: 0 + -100 = -100 -1z2 = -100 Divide each side by '-1'. z2 = 100 Simplifying z2 = 100 Take the square root of each side: z = {-10, 10}
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