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Simplifying 2z + -1z2 + -7 = 0 Reorder the terms: -7 + 2z + -1z2 = 0 Solving -7 + 2z + -1z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 7 + -2z + z2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2z + -7 + z2 = 0 + -7 Reorder the terms: 7 + -7 + -2z + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2z + z2 = 0 + -7 -2z + z2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2z + z2 = -7 The z term is -2z. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2z + 1 + z2 = -7 + 1 Reorder the terms: 1 + -2z + z2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + -2z + z2 = -6 Factor a perfect square on the left side: (z + -1)(z + -1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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