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Simplifying 5z2 + -4z4 + -4 = 0 Reorder the terms: -4 + 5z2 + -4z4 = 0 Solving -4 + 5z2 + -4z4 = 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 + -1.25z2 + z4 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.25z2 + -1 + z4 = 0 + -1 Reorder the terms: 1 + -1 + -1.25z2 + z4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.25z2 + z4 = 0 + -1 -1.25z2 + z4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.25z2 + z4 = -1 The z term is -1.25z2. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25z2 + 0.390625 + z4 = -1 + 0.390625 Reorder the terms: 0.390625 + -1.25z2 + z4 = -1 + 0.390625 Combine like terms: -1 + 0.390625 = -0.609375 0.390625 + -1.25z2 + z4 = -0.609375 Factor a perfect square on the left side: (z2 + -0.625)(z2 + -0.625) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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