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Simplifying 5z + -25z2 = 2 Solving 5z + -25z2 = 2 Solving for variable 'z'. Reorder the terms: -2 + 5z + -25z2 = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5z + -25z2 = 0 Begin completing the square. Divide all terms by -25 the coefficient of the squared term: Divide each side by '-25'. 0.08 + -0.2z + z2 = 0 Move the constant term to the right: Add '-0.08' to each side of the equation. 0.08 + -0.2z + -0.08 + z2 = 0 + -0.08 Reorder the terms: 0.08 + -0.08 + -0.2z + z2 = 0 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.2z + z2 = 0 + -0.08 -0.2z + z2 = 0 + -0.08 Combine like terms: 0 + -0.08 = -0.08 -0.2z + z2 = -0.08 The z term is -0.2z. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2z + 0.01 + z2 = -0.08 + 0.01 Reorder the terms: 0.01 + -0.2z + z2 = -0.08 + 0.01 Combine like terms: -0.08 + 0.01 = -0.07 0.01 + -0.2z + z2 = -0.07 Factor a perfect square on the left side: (z + -0.1)(z + -0.1) = -0.07 Can't calculate square root of the right side. The solution to this equation could not be determined.
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