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Simplifying -2x2 = -9x + 13 Reorder the terms: -2x2 = 13 + -9x Solving -2x2 = 13 + -9x Solving for variable 'x'. Reorder the terms: -13 + 9x + -2x2 = 13 + -9x + -13 + 9x Reorder the terms: -13 + 9x + -2x2 = 13 + -13 + -9x + 9x Combine like terms: 13 + -13 = 0 -13 + 9x + -2x2 = 0 + -9x + 9x -13 + 9x + -2x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 9x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 6.5 + -4.5x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + -4.5x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + -4.5x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -4.5x + x2 = 0 + -6.5 -4.5x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -4.5x + x2 = -6.5 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -6.5 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -6.5 + 5.0625 Combine like terms: -6.5 + 5.0625 = -1.4375 5.0625 + -4.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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