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Simplifying (11x2 + -2x + 5) + -7x2 + -8x + 6 = 0 Reorder the terms: (5 + -2x + 11x2) + -7x2 + -8x + 6 = 0 Remove parenthesis around (5 + -2x + 11x2) 5 + -2x + 11x2 + -7x2 + -8x + 6 = 0 Reorder the terms: 5 + 6 + -2x + -8x + 11x2 + -7x2 = 0 Combine like terms: 5 + 6 = 11 11 + -2x + -8x + 11x2 + -7x2 = 0 Combine like terms: -2x + -8x = -10x 11 + -10x + 11x2 + -7x2 = 0 Combine like terms: 11x2 + -7x2 = 4x2 11 + -10x + 4x2 = 0 Solving 11 + -10x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -2.5x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -2.5x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -2.5x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -2.5x + x2 = 0 + -2.75 -2.5x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -2.5x + x2 = -2.75 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -2.75 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -2.75 + 1.5625 Combine like terms: -2.75 + 1.5625 = -1.1875 1.5625 + -2.5x + x2 = -1.1875 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -1.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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