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Simplifying 2z + -6 = 3z2 Reorder the terms: -6 + 2z = 3z2 Solving -6 + 2z = 3z2 Solving for variable 'z'. Combine like terms: 3z2 + -3z2 = 0 -6 + 2z + -3z2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 2 + -0.6666666667z + z2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.6666666667z + -2 + z2 = 0 + -2 Reorder the terms: 2 + -2 + -0.6666666667z + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.6666666667z + z2 = 0 + -2 -0.6666666667z + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.6666666667z + z2 = -2 The z term is -0.6666666667z. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667z + 0.1111111112 + z2 = -2 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667z + z2 = -2 + 0.1111111112 Combine like terms: -2 + 0.1111111112 = -1.8888888888 0.1111111112 + -0.6666666667z + z2 = -1.8888888888 Factor a perfect square on the left side: (z + -0.3333333334)(z + -0.3333333334) = -1.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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