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Simplifying 9z2 + -24z + 19 = 0 Reorder the terms: 19 + -24z + 9z2 = 0 Solving 19 + -24z + 9z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.111111111 + -2.666666667z + z2 = 0 Move the constant term to the right: Add '-2.111111111' to each side of the equation. 2.111111111 + -2.666666667z + -2.111111111 + z2 = 0 + -2.111111111 Reorder the terms: 2.111111111 + -2.111111111 + -2.666666667z + z2 = 0 + -2.111111111 Combine like terms: 2.111111111 + -2.111111111 = 0.000000000 0.000000000 + -2.666666667z + z2 = 0 + -2.111111111 -2.666666667z + z2 = 0 + -2.111111111 Combine like terms: 0 + -2.111111111 = -2.111111111 -2.666666667z + z2 = -2.111111111 The z term is -2.666666667z. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667z + 1.777777780 + z2 = -2.111111111 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667z + z2 = -2.111111111 + 1.777777780 Combine like terms: -2.111111111 + 1.777777780 = -0.333333331 1.777777780 + -2.666666667z + z2 = -0.333333331 Factor a perfect square on the left side: (z + -1.333333334)(z + -1.333333334) = -0.333333331 Can't calculate square root of the right side. The solution to this equation could not be determined.
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