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Simplifying (3x2 + 2x + -2) + -1(5x2 + -5x + 6) = 0 Reorder the terms: (-2 + 2x + 3x2) + -1(5x2 + -5x + 6) = 0 Remove parenthesis around (-2 + 2x + 3x2) -2 + 2x + 3x2 + -1(5x2 + -5x + 6) = 0 Reorder the terms: -2 + 2x + 3x2 + -1(6 + -5x + 5x2) = 0 -2 + 2x + 3x2 + (6 * -1 + -5x * -1 + 5x2 * -1) = 0 -2 + 2x + 3x2 + (-6 + 5x + -5x2) = 0 Reorder the terms: -2 + -6 + 2x + 5x + 3x2 + -5x2 = 0 Combine like terms: -2 + -6 = -8 -8 + 2x + 5x + 3x2 + -5x2 = 0 Combine like terms: 2x + 5x = 7x -8 + 7x + 3x2 + -5x2 = 0 Combine like terms: 3x2 + -5x2 = -2x2 -8 + 7x + -2x2 = 0 Solving -8 + 7x + -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'. 4 + -3.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3.5x + x2 = 0 + -4 -3.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3.5x + x2 = -4 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -4 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -4 + 3.0625 Combine like terms: -4 + 3.0625 = -0.9375 3.0625 + -3.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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