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Simplifying (3z + -5)(3z + 5) = 0 Reorder the terms: (-5 + 3z)(3z + 5) = 0 Reorder the terms: (-5 + 3z)(5 + 3z) = 0 Multiply (-5 + 3z) * (5 + 3z) (-5(5 + 3z) + 3z * (5 + 3z)) = 0 ((5 * -5 + 3z * -5) + 3z * (5 + 3z)) = 0 ((-25 + -15z) + 3z * (5 + 3z)) = 0 (-25 + -15z + (5 * 3z + 3z * 3z)) = 0 (-25 + -15z + (15z + 9z2)) = 0 Combine like terms: -15z + 15z = 0 (-25 + 0 + 9z2) = 0 (-25 + 9z2) = 0 Solving -25 + 9z2 = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9z2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9z2 = 0 + 25 9z2 = 0 + 25 Combine like terms: 0 + 25 = 25 9z2 = 25 Divide each side by '9'. z2 = 2.777777778 Simplifying z2 = 2.777777778 Take the square root of each side: z = {-1.666666667, 1.666666667}
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