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Simplifying 5z * 5z + -18z + 9 = 0 Reorder the terms for easier multiplication: 5 * 5z * z + -18z + 9 = 0 Multiply 5 * 5 25z * z + -18z + 9 = 0 Multiply z * z 25z2 + -18z + 9 = 0 Reorder the terms: 9 + -18z + 25z2 = 0 Solving 9 + -18z + 25z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.36 + -0.72z + z2 = 0 Move the constant term to the right: Add '-0.36' to each side of the equation. 0.36 + -0.72z + -0.36 + z2 = 0 + -0.36 Reorder the terms: 0.36 + -0.36 + -0.72z + z2 = 0 + -0.36 Combine like terms: 0.36 + -0.36 = 0.00 0.00 + -0.72z + z2 = 0 + -0.36 -0.72z + z2 = 0 + -0.36 Combine like terms: 0 + -0.36 = -0.36 -0.72z + z2 = -0.36 The z term is -0.72z. Take half its coefficient (-0.36). Square it (0.1296) and add it to both sides. Add '0.1296' to each side of the equation. -0.72z + 0.1296 + z2 = -0.36 + 0.1296 Reorder the terms: 0.1296 + -0.72z + z2 = -0.36 + 0.1296 Combine like terms: -0.36 + 0.1296 = -0.2304 0.1296 + -0.72z + z2 = -0.2304 Factor a perfect square on the left side: (z + -0.36)(z + -0.36) = -0.2304 Can't calculate square root of the right side. The solution to this equation could not be determined.
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