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Simplifying z2 + -10z + 30 = 0 Reorder the terms: 30 + -10z + z2 = 0 Solving 30 + -10z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-30' to each side of the equation. 30 + -10z + -30 + z2 = 0 + -30 Reorder the terms: 30 + -30 + -10z + z2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10z + z2 = 0 + -30 -10z + z2 = 0 + -30 Combine like terms: 0 + -30 = -30 -10z + z2 = -30 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 = -30 + 25 Reorder the terms: 25 + -10z + z2 = -30 + 25 Combine like terms: -30 + 25 = -5 25 + -10z + z2 = -5 Factor a perfect square on the left side: (z + -5)(z + -5) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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