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Simplifying 5z2 + 3z + 4 = 0 Reorder the terms: 4 + 3z + 5z2 = 0 Solving 4 + 3z + 5z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 0.6z + z2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.6z + -0.8 + z2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.6z + z2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.6z + z2 = 0 + -0.8 0.6z + z2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.6z + z2 = -0.8 The z term is 0.6z. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6z + 0.09 + z2 = -0.8 + 0.09 Reorder the terms: 0.09 + 0.6z + z2 = -0.8 + 0.09 Combine like terms: -0.8 + 0.09 = -0.71 0.09 + 0.6z + z2 = -0.71 Factor a perfect square on the left side: (z + 0.3)(z + 0.3) = -0.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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