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Simplifying 28z2 + 28z + 15 = 0 Reorder the terms: 15 + 28z + 28z2 = 0 Solving 15 + 28z + 28z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 0.5357142857 + z + z2 = 0 Move the constant term to the right: Add '-0.5357142857' to each side of the equation. 0.5357142857 + z + -0.5357142857 + z2 = 0 + -0.5357142857 Reorder the terms: 0.5357142857 + -0.5357142857 + z + z2 = 0 + -0.5357142857 Combine like terms: 0.5357142857 + -0.5357142857 = 0.0000000000 0.0000000000 + z + z2 = 0 + -0.5357142857 z + z2 = 0 + -0.5357142857 Combine like terms: 0 + -0.5357142857 = -0.5357142857 z + z2 = -0.5357142857 The z term is z. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + z2 = -0.5357142857 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + z2 = -0.5357142857 + 0.25 Combine like terms: -0.5357142857 + 0.25 = -0.2857142857 1.25 + z2 = -0.2857142857 Factor a perfect square on the left side: (z + 0.5)(z + 0.5) = -0.2857142857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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