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Simplifying (-3x2 + 4x + -1) + (-9x2 + 6x + -3) + -1(-9x2 + 8x + 6) = 0 Reorder the terms: (-1 + 4x + -3x2) + (-9x2 + 6x + -3) + -1(-9x2 + 8x + 6) = 0 Remove parenthesis around (-1 + 4x + -3x2) -1 + 4x + -3x2 + (-9x2 + 6x + -3) + -1(-9x2 + 8x + 6) = 0 Reorder the terms: -1 + 4x + -3x2 + (-3 + 6x + -9x2) + -1(-9x2 + 8x + 6) = 0 Remove parenthesis around (-3 + 6x + -9x2) -1 + 4x + -3x2 + -3 + 6x + -9x2 + -1(-9x2 + 8x + 6) = 0 Reorder the terms: -1 + 4x + -3x2 + -3 + 6x + -9x2 + -1(6 + 8x + -9x2) = 0 -1 + 4x + -3x2 + -3 + 6x + -9x2 + (6 * -1 + 8x * -1 + -9x2 * -1) = 0 -1 + 4x + -3x2 + -3 + 6x + -9x2 + (-6 + -8x + 9x2) = 0 Reorder the terms: -1 + -3 + -6 + 4x + 6x + -8x + -3x2 + -9x2 + 9x2 = 0 Combine like terms: -1 + -3 = -4 -4 + -6 + 4x + 6x + -8x + -3x2 + -9x2 + 9x2 = 0 Combine like terms: -4 + -6 = -10 -10 + 4x + 6x + -8x + -3x2 + -9x2 + 9x2 = 0 Combine like terms: 4x + 6x = 10x -10 + 10x + -8x + -3x2 + -9x2 + 9x2 = 0 Combine like terms: 10x + -8x = 2x -10 + 2x + -3x2 + -9x2 + 9x2 = 0 Combine like terms: -3x2 + -9x2 = -12x2 -10 + 2x + -12x2 + 9x2 = 0 Combine like terms: -12x2 + 9x2 = -3x2 -10 + 2x + -3x2 = 0 Solving -10 + 2x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 3.333333333 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -0.6666666667x + -3.333333333 + x2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -0.6666666667x + x2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -3.333333333 -0.6666666667x + x2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -0.6666666667x + x2 = -3.333333333 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -3.333333333 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -3.333333333 + 0.1111111112 Combine like terms: -3.333333333 + 0.1111111112 = -3.2222222218 0.1111111112 + -0.6666666667x + x2 = -3.2222222218 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -3.2222222218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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