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Simplifying (2x2 + 3x + -1) + (4 + -6x) = 0 Reorder the terms: (-1 + 3x + 2x2) + (4 + -6x) = 0 Remove parenthesis around (-1 + 3x + 2x2) -1 + 3x + 2x2 + (4 + -6x) = 0 Remove parenthesis around (4 + -6x) -1 + 3x + 2x2 + 4 + -6x = 0 Reorder the terms: -1 + 4 + 3x + -6x + 2x2 = 0 Combine like terms: -1 + 4 = 3 3 + 3x + -6x + 2x2 = 0 Combine like terms: 3x + -6x = -3x 3 + -3x + 2x2 = 0 Solving 3 + -3x + 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'. 1.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.5x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.5x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.5x + x2 = 0 + -1.5 -1.5x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.5x + x2 = -1.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -1.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -1.5 + 0.5625 Combine like terms: -1.5 + 0.5625 = -0.9375 0.5625 + -1.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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