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Simplifying (z + -5)(z + -5) + 36 = 0 Reorder the terms: (-5 + z)(z + -5) + 36 = 0 Reorder the terms: (-5 + z)(-5 + z) + 36 = 0 Multiply (-5 + z) * (-5 + z) (-5(-5 + z) + z(-5 + z)) + 36 = 0 ((-5 * -5 + z * -5) + z(-5 + z)) + 36 = 0 ((25 + -5z) + z(-5 + z)) + 36 = 0 (25 + -5z + (-5 * z + z * z)) + 36 = 0 (25 + -5z + (-5z + z2)) + 36 = 0 Combine like terms: -5z + -5z = -10z (25 + -10z + z2) + 36 = 0 Reorder the terms: 25 + 36 + -10z + z2 = 0 Combine like terms: 25 + 36 = 61 61 + -10z + z2 = 0 Solving 61 + -10z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-61' to each side of the equation. 61 + -10z + -61 + z2 = 0 + -61 Reorder the terms: 61 + -61 + -10z + z2 = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -10z + z2 = 0 + -61 -10z + z2 = 0 + -61 Combine like terms: 0 + -61 = -61 -10z + z2 = -61 The z term is -10z. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10z + 25 + z2 = -61 + 25 Reorder the terms: 25 + -10z + z2 = -61 + 25 Combine like terms: -61 + 25 = -36 25 + -10z + z2 = -36 Factor a perfect square on the left side: (z + -5)(z + -5) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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