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Simplifying 8x2 + -1(9x + -7) + 3(6x2 + -4x + 3) = 0 Reorder the terms: 8x2 + -1(-7 + 9x) + 3(6x2 + -4x + 3) = 0 8x2 + (-7 * -1 + 9x * -1) + 3(6x2 + -4x + 3) = 0 8x2 + (7 + -9x) + 3(6x2 + -4x + 3) = 0 Reorder the terms: 8x2 + 7 + -9x + 3(3 + -4x + 6x2) = 0 8x2 + 7 + -9x + (3 * 3 + -4x * 3 + 6x2 * 3) = 0 8x2 + 7 + -9x + (9 + -12x + 18x2) = 0 Reorder the terms: 7 + 9 + -9x + -12x + 8x2 + 18x2 = 0 Combine like terms: 7 + 9 = 16 16 + -9x + -12x + 8x2 + 18x2 = 0 Combine like terms: -9x + -12x = -21x 16 + -21x + 8x2 + 18x2 = 0 Combine like terms: 8x2 + 18x2 = 26x2 16 + -21x + 26x2 = 0 Solving 16 + -21x + 26x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 26 the coefficient of the squared term: Divide each side by '26'. 0.6153846154 + -0.8076923077x + x2 = 0 Move the constant term to the right: Add '-0.6153846154' to each side of the equation. 0.6153846154 + -0.8076923077x + -0.6153846154 + x2 = 0 + -0.6153846154 Reorder the terms: 0.6153846154 + -0.6153846154 + -0.8076923077x + x2 = 0 + -0.6153846154 Combine like terms: 0.6153846154 + -0.6153846154 = 0.0000000000 0.0000000000 + -0.8076923077x + x2 = 0 + -0.6153846154 -0.8076923077x + x2 = 0 + -0.6153846154 Combine like terms: 0 + -0.6153846154 = -0.6153846154 -0.8076923077x + x2 = -0.6153846154 The x term is -0.8076923077x. Take half its coefficient (-0.4038461539). Square it (0.1630917160) and add it to both sides. Add '0.1630917160' to each side of the equation. -0.8076923077x + 0.1630917160 + x2 = -0.6153846154 + 0.1630917160 Reorder the terms: 0.1630917160 + -0.8076923077x + x2 = -0.6153846154 + 0.1630917160 Combine like terms: -0.6153846154 + 0.1630917160 = -0.4522928994 0.1630917160 + -0.8076923077x + x2 = -0.4522928994 Factor a perfect square on the left side: (x + -0.4038461539)(x + -0.4038461539) = -0.4522928994 Can't calculate square root of the right side. The solution to this equation could not be determined.
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