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Simplifying (1x2 + 5x + 7) + (1x2 + 5x + 6) = 0 Reorder the terms: (7 + 5x + 1x2) + (1x2 + 5x + 6) = 0 Remove parenthesis around (7 + 5x + 1x2) 7 + 5x + 1x2 + (1x2 + 5x + 6) = 0 Reorder the terms: 7 + 5x + 1x2 + (6 + 5x + 1x2) = 0 Remove parenthesis around (6 + 5x + 1x2) 7 + 5x + 1x2 + 6 + 5x + 1x2 = 0 Reorder the terms: 7 + 6 + 5x + 5x + 1x2 + 1x2 = 0 Combine like terms: 7 + 6 = 13 13 + 5x + 5x + 1x2 + 1x2 = 0 Combine like terms: 5x + 5x = 10x 13 + 10x + 1x2 + 1x2 = 0 Combine like terms: 1x2 + 1x2 = 2x2 13 + 10x + 2x2 = 0 Solving 13 + 10x + 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'. 6.5 + 5x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 5x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 5x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 5x + x2 = 0 + -6.5 5x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 5x + x2 = -6.5 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -6.5 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -6.5 + 6.25 Combine like terms: -6.5 + 6.25 = -0.25 6.25 + 5x + x2 = -0.25 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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