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Simplifying z2 + -12z + 40 = 0 Reorder the terms: 40 + -12z + z2 = 0 Solving 40 + -12z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -12z + -40 + z2 = 0 + -40 Reorder the terms: 40 + -40 + -12z + z2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -12z + z2 = 0 + -40 -12z + z2 = 0 + -40 Combine like terms: 0 + -40 = -40 -12z + z2 = -40 The z term is -12z. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12z + 36 + z2 = -40 + 36 Reorder the terms: 36 + -12z + z2 = -40 + 36 Combine like terms: -40 + 36 = -4 36 + -12z + z2 = -4 Factor a perfect square on the left side: (z + -6)(z + -6) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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