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Simplifying (6x + -4z)(6x + 4z) = 0 Multiply (6x + -4z) * (6x + 4z) (6x * (6x + 4z) + -4z * (6x + 4z)) = 0 ((6x * 6x + 4z * 6x) + -4z * (6x + 4z)) = 0 Reorder the terms: ((24xz + 36x2) + -4z * (6x + 4z)) = 0 ((24xz + 36x2) + -4z * (6x + 4z)) = 0 (24xz + 36x2 + (6x * -4z + 4z * -4z)) = 0 (24xz + 36x2 + (-24xz + -16z2)) = 0 Reorder the terms: (24xz + -24xz + 36x2 + -16z2) = 0 Combine like terms: 24xz + -24xz = 0 (0 + 36x2 + -16z2) = 0 (36x2 + -16z2) = 0 Solving 36x2 + -16z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16z2' to each side of the equation. 36x2 + -16z2 + 16z2 = 0 + 16z2 Combine like terms: -16z2 + 16z2 = 0 36x2 + 0 = 0 + 16z2 36x2 = 0 + 16z2 Remove the zero: 36x2 = 16z2 Divide each side by '36'. x2 = 0.4444444444z2 Simplifying x2 = 0.4444444444z2 Take the square root of each side: x = {-0.666666667z, 0.666666667z}
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