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Simplifying (2x2 + -5x + 13) + -1(4 + -4x) = 0 Reorder the terms: (13 + -5x + 2x2) + -1(4 + -4x) = 0 Remove parenthesis around (13 + -5x + 2x2) 13 + -5x + 2x2 + -1(4 + -4x) = 0 13 + -5x + 2x2 + (4 * -1 + -4x * -1) = 0 13 + -5x + 2x2 + (-4 + 4x) = 0 Reorder the terms: 13 + -4 + -5x + 4x + 2x2 = 0 Combine like terms: 13 + -4 = 9 9 + -5x + 4x + 2x2 = 0 Combine like terms: -5x + 4x = -1x 9 + -1x + 2x2 = 0 Solving 9 + -1x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4.5 + -0.5x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -0.5x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -0.5x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.5x + x2 = 0 + -4.5 -0.5x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -0.5x + x2 = -4.5 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -4.5 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -4.5 + 0.0625 Combine like terms: -4.5 + 0.0625 = -4.4375 0.0625 + -0.5x + x2 = -4.4375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -4.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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