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Simplifying (z + -5)(z + 5) = 0 Reorder the terms: (-5 + z)(z + 5) = 0 Reorder the terms: (-5 + z)(5 + z) = 0 Multiply (-5 + z) * (5 + z) (-5(5 + z) + z(5 + z)) = 0 ((5 * -5 + z * -5) + z(5 + z)) = 0 ((-25 + -5z) + z(5 + z)) = 0 (-25 + -5z + (5 * z + z * z)) = 0 (-25 + -5z + (5z + z2)) = 0 Combine like terms: -5z + 5z = 0 (-25 + 0 + z2) = 0 (-25 + z2) = 0 Solving -25 + z2 = 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 + z2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + z2 = 0 + 25 z2 = 0 + 25 Combine like terms: 0 + 25 = 25 z2 = 25 Simplifying z2 = 25 Take the square root of each side: z = {-5, 5}
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