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Simplifying (3z + -5x)(3z + 5x) = 0 Reorder the terms: (-5x + 3z)(3z + 5x) = 0 Reorder the terms: (-5x + 3z)(5x + 3z) = 0 Multiply (-5x + 3z) * (5x + 3z) (-5x * (5x + 3z) + 3z * (5x + 3z)) = 0 ((5x * -5x + 3z * -5x) + 3z * (5x + 3z)) = 0 Reorder the terms: ((-15xz + -25x2) + 3z * (5x + 3z)) = 0 ((-15xz + -25x2) + 3z * (5x + 3z)) = 0 (-15xz + -25x2 + (5x * 3z + 3z * 3z)) = 0 (-15xz + -25x2 + (15xz + 9z2)) = 0 Reorder the terms: (-15xz + 15xz + -25x2 + 9z2) = 0 Combine like terms: -15xz + 15xz = 0 (0 + -25x2 + 9z2) = 0 (-25x2 + 9z2) = 0 Solving -25x2 + 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. -25x2 + 9z2 + -9z2 = 0 + -9z2 Combine like terms: 9z2 + -9z2 = 0 -25x2 + 0 = 0 + -9z2 -25x2 = 0 + -9z2 Remove the zero: -25x2 = -9z2 Divide each side by '-25'. x2 = 0.36z2 Simplifying x2 = 0.36z2 Take the square root of each side: x = {-0.6z, 0.6z}
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