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Simplifying (9x + -9z)(9x + 9z) = 0 Multiply (9x + -9z) * (9x + 9z) (9x * (9x + 9z) + -9z * (9x + 9z)) = 0 ((9x * 9x + 9z * 9x) + -9z * (9x + 9z)) = 0 Reorder the terms: ((81xz + 81x2) + -9z * (9x + 9z)) = 0 ((81xz + 81x2) + -9z * (9x + 9z)) = 0 (81xz + 81x2 + (9x * -9z + 9z * -9z)) = 0 (81xz + 81x2 + (-81xz + -81z2)) = 0 Reorder the terms: (81xz + -81xz + 81x2 + -81z2) = 0 Combine like terms: 81xz + -81xz = 0 (0 + 81x2 + -81z2) = 0 (81x2 + -81z2) = 0 Solving 81x2 + -81z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81z2' to each side of the equation. 81x2 + -81z2 + 81z2 = 0 + 81z2 Combine like terms: -81z2 + 81z2 = 0 81x2 + 0 = 0 + 81z2 81x2 = 0 + 81z2 Remove the zero: 81x2 = 81z2 Divide each side by '81'. x2 = z2 Simplifying x2 = z2 Take the square root of each side: x = {-1z, z}
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