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Simplifying 7x2 + -3x + 4 + (-8x2 + 9x + -13) + (-5x2 + 6x + 2) = 0 Reorder the terms: 7x2 + -3x + 4 + (-13 + 9x + -8x2) + (-5x2 + 6x + 2) = 0 Remove parenthesis around (-13 + 9x + -8x2) 7x2 + -3x + 4 + -13 + 9x + -8x2 + (-5x2 + 6x + 2) = 0 Reorder the terms: 7x2 + -3x + 4 + -13 + 9x + -8x2 + (2 + 6x + -5x2) = 0 Remove parenthesis around (2 + 6x + -5x2) 7x2 + -3x + 4 + -13 + 9x + -8x2 + 2 + 6x + -5x2 = 0 Reorder the terms: 4 + -13 + 2 + -3x + 9x + 6x + 7x2 + -8x2 + -5x2 = 0 Combine like terms: 4 + -13 = -9 -9 + 2 + -3x + 9x + 6x + 7x2 + -8x2 + -5x2 = 0 Combine like terms: -9 + 2 = -7 -7 + -3x + 9x + 6x + 7x2 + -8x2 + -5x2 = 0 Combine like terms: -3x + 9x = 6x -7 + 6x + 6x + 7x2 + -8x2 + -5x2 = 0 Combine like terms: 6x + 6x = 12x -7 + 12x + 7x2 + -8x2 + -5x2 = 0 Combine like terms: 7x2 + -8x2 = -1x2 -7 + 12x + -1x2 + -5x2 = 0 Combine like terms: -1x2 + -5x2 = -6x2 -7 + 12x + -6x2 = 0 Solving -7 + 12x + -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'. 1.166666667 + -2x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -2x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -2x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -2x + x2 = 0 + -1.166666667 -2x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -2x + x2 = -1.166666667 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.166666667 + 1 Reorder the terms: 1 + -2x + x2 = -1.166666667 + 1 Combine like terms: -1.166666667 + 1 = -0.166666667 1 + -2x + x2 = -0.166666667 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.166666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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