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Simplifying (3x2 + -3x + -2) + -1(-3x2 + -4x + -6) = 0 Reorder the terms: (-2 + -3x + 3x2) + -1(-3x2 + -4x + -6) = 0 Remove parenthesis around (-2 + -3x + 3x2) -2 + -3x + 3x2 + -1(-3x2 + -4x + -6) = 0 Reorder the terms: -2 + -3x + 3x2 + -1(-6 + -4x + -3x2) = 0 -2 + -3x + 3x2 + (-6 * -1 + -4x * -1 + -3x2 * -1) = 0 -2 + -3x + 3x2 + (6 + 4x + 3x2) = 0 Reorder the terms: -2 + 6 + -3x + 4x + 3x2 + 3x2 = 0 Combine like terms: -2 + 6 = 4 4 + -3x + 4x + 3x2 + 3x2 = 0 Combine like terms: -3x + 4x = 1x 4 + 1x + 3x2 + 3x2 = 0 Combine like terms: 3x2 + 3x2 = 6x2 4 + 1x + 6x2 = 0 Solving 4 + 1x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.6666666667 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 0.1666666667x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 0.1666666667x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 0.1666666667x + x2 = 0 + -0.6666666667 0.1666666667x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 0.1666666667x + x2 = -0.6666666667 The x term is 0.1666666667x. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x + 0.006944444447 + x2 = -0.6666666667 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = -0.6666666667 + 0.006944444447 Combine like terms: -0.6666666667 + 0.006944444447 = -0.659722222253 0.006944444447 + 0.1666666667x + x2 = -0.659722222253 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = -0.659722222253 Can't calculate square root of the right side. The solution to this equation could not be determined.
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