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Simplifying (6x2 + -7x + 4) + (2x2 + -2x + 7) = 0 Reorder the terms: (4 + -7x + 6x2) + (2x2 + -2x + 7) = 0 Remove parenthesis around (4 + -7x + 6x2) 4 + -7x + 6x2 + (2x2 + -2x + 7) = 0 Reorder the terms: 4 + -7x + 6x2 + (7 + -2x + 2x2) = 0 Remove parenthesis around (7 + -2x + 2x2) 4 + -7x + 6x2 + 7 + -2x + 2x2 = 0 Reorder the terms: 4 + 7 + -7x + -2x + 6x2 + 2x2 = 0 Combine like terms: 4 + 7 = 11 11 + -7x + -2x + 6x2 + 2x2 = 0 Combine like terms: -7x + -2x = -9x 11 + -9x + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 11 + -9x + 8x2 = 0 Solving 11 + -9x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + -1.125x + x2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + -1.125x + -1.375 + x2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + -1.125x + x2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + -1.125x + x2 = 0 + -1.375 -1.125x + x2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 -1.125x + x2 = -1.375 The x term is -1.125x. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125x + 0.31640625 + x2 = -1.375 + 0.31640625 Reorder the terms: 0.31640625 + -1.125x + x2 = -1.375 + 0.31640625 Combine like terms: -1.375 + 0.31640625 = -1.05859375 0.31640625 + -1.125x + x2 = -1.05859375 Factor a perfect square on the left side: (x + -0.5625)(x + -0.5625) = -1.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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