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Simplifying 25z2 + -150z + 233 = 0 Reorder the terms: 233 + -150z + 25z2 = 0 Solving 233 + -150z + 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'. 9.32 + -6z + z2 = 0 Move the constant term to the right: Add '-9.32' to each side of the equation. 9.32 + -6z + -9.32 + z2 = 0 + -9.32 Reorder the terms: 9.32 + -9.32 + -6z + z2 = 0 + -9.32 Combine like terms: 9.32 + -9.32 = 0.00 0.00 + -6z + z2 = 0 + -9.32 -6z + z2 = 0 + -9.32 Combine like terms: 0 + -9.32 = -9.32 -6z + z2 = -9.32 The z term is -6z. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6z + 9 + z2 = -9.32 + 9 Reorder the terms: 9 + -6z + z2 = -9.32 + 9 Combine like terms: -9.32 + 9 = -0.32 9 + -6z + z2 = -0.32 Factor a perfect square on the left side: (z + -3)(z + -3) = -0.32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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