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Simplifying 8x(3x + 2) + -1(x + -3) = 8(x + -5) + 9 Reorder the terms: 8x(2 + 3x) + -1(x + -3) = 8(x + -5) + 9 (2 * 8x + 3x * 8x) + -1(x + -3) = 8(x + -5) + 9 (16x + 24x2) + -1(x + -3) = 8(x + -5) + 9 Reorder the terms: 16x + 24x2 + -1(-3 + x) = 8(x + -5) + 9 16x + 24x2 + (-3 * -1 + x * -1) = 8(x + -5) + 9 16x + 24x2 + (3 + -1x) = 8(x + -5) + 9 Reorder the terms: 3 + 16x + -1x + 24x2 = 8(x + -5) + 9 Combine like terms: 16x + -1x = 15x 3 + 15x + 24x2 = 8(x + -5) + 9 Reorder the terms: 3 + 15x + 24x2 = 8(-5 + x) + 9 3 + 15x + 24x2 = (-5 * 8 + x * 8) + 9 3 + 15x + 24x2 = (-40 + 8x) + 9 Reorder the terms: 3 + 15x + 24x2 = -40 + 9 + 8x Combine like terms: -40 + 9 = -31 3 + 15x + 24x2 = -31 + 8x Solving 3 + 15x + 24x2 = -31 + 8x Solving for variable 'x'. Reorder the terms: 3 + 31 + 15x + -8x + 24x2 = -31 + 8x + 31 + -8x Combine like terms: 3 + 31 = 34 34 + 15x + -8x + 24x2 = -31 + 8x + 31 + -8x Combine like terms: 15x + -8x = 7x 34 + 7x + 24x2 = -31 + 8x + 31 + -8x Reorder the terms: 34 + 7x + 24x2 = -31 + 31 + 8x + -8x Combine like terms: -31 + 31 = 0 34 + 7x + 24x2 = 0 + 8x + -8x 34 + 7x + 24x2 = 8x + -8x Combine like terms: 8x + -8x = 0 34 + 7x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 1.416666667 + 0.2916666667x + x2 = 0 Move the constant term to the right: Add '-1.416666667' to each side of the equation. 1.416666667 + 0.2916666667x + -1.416666667 + x2 = 0 + -1.416666667 Reorder the terms: 1.416666667 + -1.416666667 + 0.2916666667x + x2 = 0 + -1.416666667 Combine like terms: 1.416666667 + -1.416666667 = 0.000000000 0.000000000 + 0.2916666667x + x2 = 0 + -1.416666667 0.2916666667x + x2 = 0 + -1.416666667 Combine like terms: 0 + -1.416666667 = -1.416666667 0.2916666667x + x2 = -1.416666667 The x term is 0.2916666667x. Take half its coefficient (0.1458333334). Square it (0.02126736113) and add it to both sides. Add '0.02126736113' to each side of the equation. 0.2916666667x + 0.02126736113 + x2 = -1.416666667 + 0.02126736113 Reorder the terms: 0.02126736113 + 0.2916666667x + x2 = -1.416666667 + 0.02126736113 Combine like terms: -1.416666667 + 0.02126736113 = -1.39539930587 0.02126736113 + 0.2916666667x + x2 = -1.39539930587 Factor a perfect square on the left side: (x + 0.1458333334)(x + 0.1458333334) = -1.39539930587 Can't calculate square root of the right side. The solution to this equation could not be determined.
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