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Simplifying -1(-4z2 + z + -5) = 0 Reorder the terms: -1(-5 + z + -4z2) = 0 (-5 * -1 + z * -1 + -4z2 * -1) = 0 (5 + -1z + 4z2) = 0 Solving 5 + -1z + 4z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -0.25z + z2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.25z + -1.25 + z2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.25z + z2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.25z + z2 = 0 + -1.25 -0.25z + z2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.25z + z2 = -1.25 The z term is -0.25z. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25z + 0.015625 + z2 = -1.25 + 0.015625 Reorder the terms: 0.015625 + -0.25z + z2 = -1.25 + 0.015625 Combine like terms: -1.25 + 0.015625 = -1.234375 0.015625 + -0.25z + z2 = -1.234375 Factor a perfect square on the left side: (z + -0.125)(z + -0.125) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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