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Simplifying (9x + -6z)(9x + 6z) = 0 Multiply (9x + -6z) * (9x + 6z) (9x * (9x + 6z) + -6z * (9x + 6z)) = 0 ((9x * 9x + 6z * 9x) + -6z * (9x + 6z)) = 0 Reorder the terms: ((54xz + 81x2) + -6z * (9x + 6z)) = 0 ((54xz + 81x2) + -6z * (9x + 6z)) = 0 (54xz + 81x2 + (9x * -6z + 6z * -6z)) = 0 (54xz + 81x2 + (-54xz + -36z2)) = 0 Reorder the terms: (54xz + -54xz + 81x2 + -36z2) = 0 Combine like terms: 54xz + -54xz = 0 (0 + 81x2 + -36z2) = 0 (81x2 + -36z2) = 0 Solving 81x2 + -36z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36z2' to each side of the equation. 81x2 + -36z2 + 36z2 = 0 + 36z2 Combine like terms: -36z2 + 36z2 = 0 81x2 + 0 = 0 + 36z2 81x2 = 0 + 36z2 Remove the zero: 81x2 = 36z2 Divide each side by '81'. x2 = 0.4444444444z2 Simplifying x2 = 0.4444444444z2 Take the square root of each side: x = {-0.666666667z, 0.666666667z}
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