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Simplifying (x2 + -5x + 1) + (4x2 + -2x + 2) = 0 Reorder the terms: (1 + -5x + x2) + (4x2 + -2x + 2) = 0 Remove parenthesis around (1 + -5x + x2) 1 + -5x + x2 + (4x2 + -2x + 2) = 0 Reorder the terms: 1 + -5x + x2 + (2 + -2x + 4x2) = 0 Remove parenthesis around (2 + -2x + 4x2) 1 + -5x + x2 + 2 + -2x + 4x2 = 0 Reorder the terms: 1 + 2 + -5x + -2x + x2 + 4x2 = 0 Combine like terms: 1 + 2 = 3 3 + -5x + -2x + x2 + 4x2 = 0 Combine like terms: -5x + -2x = -7x 3 + -7x + x2 + 4x2 = 0 Combine like terms: x2 + 4x2 = 5x2 3 + -7x + 5x2 = 0 Solving 3 + -7x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + -1.4x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1.4x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1.4x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1.4x + x2 = 0 + -0.6 -1.4x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -1.4x + x2 = -0.6 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -0.6 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -0.6 + 0.49 Combine like terms: -0.6 + 0.49 = -0.11 0.49 + -1.4x + x2 = -0.11 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -0.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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