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Simplifying 2x2 + 4x + -5 + 7x + 6 + 2x2 + 9 = 0 Reorder the terms: -5 + 6 + 9 + 4x + 7x + 2x2 + 2x2 = 0 Combine like terms: -5 + 6 = 1 1 + 9 + 4x + 7x + 2x2 + 2x2 = 0 Combine like terms: 1 + 9 = 10 10 + 4x + 7x + 2x2 + 2x2 = 0 Combine like terms: 4x + 7x = 11x 10 + 11x + 2x2 + 2x2 = 0 Combine like terms: 2x2 + 2x2 = 4x2 10 + 11x + 4x2 = 0 Solving 10 + 11x + 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'. 2.5 + 2.75x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 2.75x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2.75x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.75x + x2 = 0 + -2.5 2.75x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2.75x + x2 = -2.5 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -2.5 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -2.5 + 1.890625 Combine like terms: -2.5 + 1.890625 = -0.609375 1.890625 + 2.75x + x2 = -0.609375 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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