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Simplifying 7z2 + -13z = -9z + -5 Reorder the terms: -13z + 7z2 = -9z + -5 Reorder the terms: -13z + 7z2 = -5 + -9z Solving -13z + 7z2 = -5 + -9z Solving for variable 'z'. Reorder the terms: 5 + -13z + 9z + 7z2 = -5 + -9z + 5 + 9z Combine like terms: -13z + 9z = -4z 5 + -4z + 7z2 = -5 + -9z + 5 + 9z Reorder the terms: 5 + -4z + 7z2 = -5 + 5 + -9z + 9z Combine like terms: -5 + 5 = 0 5 + -4z + 7z2 = 0 + -9z + 9z 5 + -4z + 7z2 = -9z + 9z Combine like terms: -9z + 9z = 0 5 + -4z + 7z2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + -0.5714285714z + z2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -0.5714285714z + -0.7142857143 + z2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -0.5714285714z + z2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -0.5714285714z + z2 = 0 + -0.7142857143 -0.5714285714z + z2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -0.5714285714z + z2 = -0.7142857143 The z term is -0.5714285714z. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714z + 0.08163265305 + z2 = -0.7142857143 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714z + z2 = -0.7142857143 + 0.08163265305 Combine like terms: -0.7142857143 + 0.08163265305 = -0.63265306125 0.08163265305 + -0.5714285714z + z2 = -0.63265306125 Factor a perfect square on the left side: (z + -0.2857142857)(z + -0.2857142857) = -0.63265306125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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