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Simplifying (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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