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Simplifying (3x + -3z)(3x + 3z) = 0 Multiply (3x + -3z) * (3x + 3z) (3x * (3x + 3z) + -3z * (3x + 3z)) = 0 ((3x * 3x + 3z * 3x) + -3z * (3x + 3z)) = 0 Reorder the terms: ((9xz + 9x2) + -3z * (3x + 3z)) = 0 ((9xz + 9x2) + -3z * (3x + 3z)) = 0 (9xz + 9x2 + (3x * -3z + 3z * -3z)) = 0 (9xz + 9x2 + (-9xz + -9z2)) = 0 Reorder the terms: (9xz + -9xz + 9x2 + -9z2) = 0 Combine like terms: 9xz + -9xz = 0 (0 + 9x2 + -9z2) = 0 (9x2 + -9z2) = 0 Solving 9x2 + -9z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9z2' to each side of the equation. 9x2 + -9z2 + 9z2 = 0 + 9z2 Combine like terms: -9z2 + 9z2 = 0 9x2 + 0 = 0 + 9z2 9x2 = 0 + 9z2 Remove the zero: 9x2 = 9z2 Divide each side by '9'. x2 = z2 Simplifying x2 = z2 Take the square root of each side: x = {-1z, z}
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