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Simplifying (7x2 + -2x + 1) + (-3x2 + 4x + 6) = 0 Reorder the terms: (1 + -2x + 7x2) + (-3x2 + 4x + 6) = 0 Remove parenthesis around (1 + -2x + 7x2) 1 + -2x + 7x2 + (-3x2 + 4x + 6) = 0 Reorder the terms: 1 + -2x + 7x2 + (6 + 4x + -3x2) = 0 Remove parenthesis around (6 + 4x + -3x2) 1 + -2x + 7x2 + 6 + 4x + -3x2 = 0 Reorder the terms: 1 + 6 + -2x + 4x + 7x2 + -3x2 = 0 Combine like terms: 1 + 6 = 7 7 + -2x + 4x + 7x2 + -3x2 = 0 Combine like terms: -2x + 4x = 2x 7 + 2x + 7x2 + -3x2 = 0 Combine like terms: 7x2 + -3x2 = 4x2 7 + 2x + 4x2 = 0 Solving 7 + 2x + 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'. 1.75 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 0.5x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 0.5x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 0.5x + x2 = 0 + -1.75 0.5x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 0.5x + x2 = -1.75 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -1.75 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -1.75 + 0.0625 Combine like terms: -1.75 + 0.0625 = -1.6875 0.0625 + 0.5x + x2 = -1.6875 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -1.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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