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Simplifying -1(6x + -8)(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: -1(-8 + 6x)(4x + -7) + 6 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: -1(-8 + 6x)(-7 + 4x) + 6 = -8(x + -5) + -1(5x + -6) + 8 Multiply (-8 + 6x) * (-7 + 4x) -1(-8(-7 + 4x) + 6x * (-7 + 4x)) + 6 = -8(x + -5) + -1(5x + -6) + 8 -1((-7 * -8 + 4x * -8) + 6x * (-7 + 4x)) + 6 = -8(x + -5) + -1(5x + -6) + 8 -1((56 + -32x) + 6x * (-7 + 4x)) + 6 = -8(x + -5) + -1(5x + -6) + 8 -1(56 + -32x + (-7 * 6x + 4x * 6x)) + 6 = -8(x + -5) + -1(5x + -6) + 8 -1(56 + -32x + (-42x + 24x2)) + 6 = -8(x + -5) + -1(5x + -6) + 8 Combine like terms: -32x + -42x = -74x -1(56 + -74x + 24x2) + 6 = -8(x + -5) + -1(5x + -6) + 8 (56 * -1 + -74x * -1 + 24x2 * -1) + 6 = -8(x + -5) + -1(5x + -6) + 8 (-56 + 74x + -24x2) + 6 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: -56 + 6 + 74x + -24x2 = -8(x + -5) + -1(5x + -6) + 8 Combine like terms: -56 + 6 = -50 -50 + 74x + -24x2 = -8(x + -5) + -1(5x + -6) + 8 Reorder the terms: -50 + 74x + -24x2 = -8(-5 + x) + -1(5x + -6) + 8 -50 + 74x + -24x2 = (-5 * -8 + x * -8) + -1(5x + -6) + 8 -50 + 74x + -24x2 = (40 + -8x) + -1(5x + -6) + 8 Reorder the terms: -50 + 74x + -24x2 = 40 + -8x + -1(-6 + 5x) + 8 -50 + 74x + -24x2 = 40 + -8x + (-6 * -1 + 5x * -1) + 8 -50 + 74x + -24x2 = 40 + -8x + (6 + -5x) + 8 Reorder the terms: -50 + 74x + -24x2 = 40 + 6 + 8 + -8x + -5x Combine like terms: 40 + 6 = 46 -50 + 74x + -24x2 = 46 + 8 + -8x + -5x Combine like terms: 46 + 8 = 54 -50 + 74x + -24x2 = 54 + -8x + -5x Combine like terms: -8x + -5x = -13x -50 + 74x + -24x2 = 54 + -13x Solving -50 + 74x + -24x2 = 54 + -13x Solving for variable 'x'. Reorder the terms: -50 + -54 + 74x + 13x + -24x2 = 54 + -13x + -54 + 13x Combine like terms: -50 + -54 = -104 -104 + 74x + 13x + -24x2 = 54 + -13x + -54 + 13x Combine like terms: 74x + 13x = 87x -104 + 87x + -24x2 = 54 + -13x + -54 + 13x Reorder the terms: -104 + 87x + -24x2 = 54 + -54 + -13x + 13x Combine like terms: 54 + -54 = 0 -104 + 87x + -24x2 = 0 + -13x + 13x -104 + 87x + -24x2 = -13x + 13x Combine like terms: -13x + 13x = 0 -104 + 87x + -24x2 = 0 Begin completing the square. Divide all terms by -24 the coefficient of the squared term: Divide each side by '-24'. 4.333333333 + -3.625x + x2 = 0 Move the constant term to the right: Add '-4.333333333' to each side of the equation. 4.333333333 + -3.625x + -4.333333333 + x2 = 0 + -4.333333333 Reorder the terms: 4.333333333 + -4.333333333 + -3.625x + x2 = 0 + -4.333333333 Combine like terms: 4.333333333 + -4.333333333 = 0.000000000 0.000000000 + -3.625x + x2 = 0 + -4.333333333 -3.625x + x2 = 0 + -4.333333333 Combine like terms: 0 + -4.333333333 = -4.333333333 -3.625x + x2 = -4.333333333 The x term is -3.625x. Take half its coefficient (-1.8125). Square it (3.28515625) and add it to both sides. Add '3.28515625' to each side of the equation. -3.625x + 3.28515625 + x2 = -4.333333333 + 3.28515625 Reorder the terms: 3.28515625 + -3.625x + x2 = -4.333333333 + 3.28515625 Combine like terms: -4.333333333 + 3.28515625 = -1.048177083 3.28515625 + -3.625x + x2 = -1.048177083 Factor a perfect square on the left side: (x + -1.8125)(x + -1.8125) = -1.048177083 Can't calculate square root of the right side. The solution to this equation could not be determined.
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