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Simplifying (9x + -7z)(9x + 7z) = 0 Multiply (9x + -7z) * (9x + 7z) (9x * (9x + 7z) + -7z * (9x + 7z)) = 0 ((9x * 9x + 7z * 9x) + -7z * (9x + 7z)) = 0 Reorder the terms: ((63xz + 81x2) + -7z * (9x + 7z)) = 0 ((63xz + 81x2) + -7z * (9x + 7z)) = 0 (63xz + 81x2 + (9x * -7z + 7z * -7z)) = 0 (63xz + 81x2 + (-63xz + -49z2)) = 0 Reorder the terms: (63xz + -63xz + 81x2 + -49z2) = 0 Combine like terms: 63xz + -63xz = 0 (0 + 81x2 + -49z2) = 0 (81x2 + -49z2) = 0 Solving 81x2 + -49z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49z2' to each side of the equation. 81x2 + -49z2 + 49z2 = 0 + 49z2 Combine like terms: -49z2 + 49z2 = 0 81x2 + 0 = 0 + 49z2 81x2 = 0 + 49z2 Remove the zero: 81x2 = 49z2 Divide each side by '81'. x2 = 0.6049382716z2 Simplifying x2 = 0.6049382716z2 Take the square root of each side: x = {-0.777777778z, 0.777777778z}
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