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Simplifying (3x + -2z)(3x + 2z) = 0 Multiply (3x + -2z) * (3x + 2z) (3x * (3x + 2z) + -2z * (3x + 2z)) = 0 ((3x * 3x + 2z * 3x) + -2z * (3x + 2z)) = 0 Reorder the terms: ((6xz + 9x2) + -2z * (3x + 2z)) = 0 ((6xz + 9x2) + -2z * (3x + 2z)) = 0 (6xz + 9x2 + (3x * -2z + 2z * -2z)) = 0 (6xz + 9x2 + (-6xz + -4z2)) = 0 Reorder the terms: (6xz + -6xz + 9x2 + -4z2) = 0 Combine like terms: 6xz + -6xz = 0 (0 + 9x2 + -4z2) = 0 (9x2 + -4z2) = 0 Solving 9x2 + -4z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4z2' to each side of the equation. 9x2 + -4z2 + 4z2 = 0 + 4z2 Combine like terms: -4z2 + 4z2 = 0 9x2 + 0 = 0 + 4z2 9x2 = 0 + 4z2 Remove the zero: 9x2 = 4z2 Divide each side by '9'. x2 = 0.4444444444z2 Simplifying x2 = 0.4444444444z2 Take the square root of each side: x = {-0.666666667z, 0.666666667z}
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