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Simplifying (x2 + 4) + -1(x + -4) + (x2 + -2x) = 0 Reorder the terms: (4 + x2) + -1(x + -4) + (x2 + -2x) = 0 Remove parenthesis around (4 + x2) 4 + x2 + -1(x + -4) + (x2 + -2x) = 0 Reorder the terms: 4 + x2 + -1(-4 + x) + (x2 + -2x) = 0 4 + x2 + (-4 * -1 + x * -1) + (x2 + -2x) = 0 4 + x2 + (4 + -1x) + (x2 + -2x) = 0 Reorder the terms: 4 + x2 + 4 + -1x + (-2x + x2) = 0 Remove parenthesis around (-2x + x2) 4 + x2 + 4 + -1x + -2x + x2 = 0 Reorder the terms: 4 + 4 + -1x + -2x + x2 + x2 = 0 Combine like terms: 4 + 4 = 8 8 + -1x + -2x + x2 + x2 = 0 Combine like terms: -1x + -2x = -3x 8 + -3x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 8 + -3x + 2x2 = 0 Solving 8 + -3x + 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 + -1.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5x + x2 = 0 + -4 -1.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1.5x + x2 = -4 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -4 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -4 + 0.5625 Combine like terms: -4 + 0.5625 = -3.4375 0.5625 + -1.5x + x2 = -3.4375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -3.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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