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Simplifying 15z4 + -3z2 + 2 = 0 Reorder the terms: 2 + -3z2 + 15z4 = 0 Solving 2 + -3z2 + 15z4 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.1333333333 + -0.2z2 + z4 = 0 Move the constant term to the right: Add '-0.1333333333' to each side of the equation. 0.1333333333 + -0.2z2 + -0.1333333333 + z4 = 0 + -0.1333333333 Reorder the terms: 0.1333333333 + -0.1333333333 + -0.2z2 + z4 = 0 + -0.1333333333 Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000 0.0000000000 + -0.2z2 + z4 = 0 + -0.1333333333 -0.2z2 + z4 = 0 + -0.1333333333 Combine like terms: 0 + -0.1333333333 = -0.1333333333 -0.2z2 + z4 = -0.1333333333 The z term is -0.2z2. 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. -0.2z2 + 0.01 + z4 = -0.1333333333 + 0.01 Reorder the terms: 0.01 + -0.2z2 + z4 = -0.1333333333 + 0.01 Combine like terms: -0.1333333333 + 0.01 = -0.1233333333 0.01 + -0.2z2 + z4 = -0.1233333333 Factor a perfect square on the left side: (z2 + -0.1)(z2 + -0.1) = -0.1233333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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