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Simplifying 25x2 + -9x + 9 = -39 Reorder the terms: 9 + -9x + 25x2 = -39 Solving 9 + -9x + 25x2 = -39 Solving for variable 'x'. Reorder the terms: 9 + 39 + -9x + 25x2 = -39 + 39 Combine like terms: 9 + 39 = 48 48 + -9x + 25x2 = -39 + 39 Combine like terms: -39 + 39 = 0 48 + -9x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 1.92 + -0.36x + x2 = 0 Move the constant term to the right: Add '-1.92' to each side of the equation. 1.92 + -0.36x + -1.92 + x2 = 0 + -1.92 Reorder the terms: 1.92 + -1.92 + -0.36x + x2 = 0 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -0.36x + x2 = 0 + -1.92 -0.36x + x2 = 0 + -1.92 Combine like terms: 0 + -1.92 = -1.92 -0.36x + x2 = -1.92 The x term is -0.36x. Take half its coefficient (-0.18). Square it (0.0324) and add it to both sides. Add '0.0324' to each side of the equation. -0.36x + 0.0324 + x2 = -1.92 + 0.0324 Reorder the terms: 0.0324 + -0.36x + x2 = -1.92 + 0.0324 Combine like terms: -1.92 + 0.0324 = -1.8876 0.0324 + -0.36x + x2 = -1.8876 Factor a perfect square on the left side: (x + -0.18)(x + -0.18) = -1.8876 Can't calculate square root of the right side. The solution to this equation could not be determined.
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