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Simplifying 8x(3x + 2) = 3x + -10 Reorder the terms: 8x(2 + 3x) = 3x + -10 (2 * 8x + 3x * 8x) = 3x + -10 (16x + 24x2) = 3x + -10 Reorder the terms: 16x + 24x2 = -10 + 3x Solving 16x + 24x2 = -10 + 3x Solving for variable 'x'. Reorder the terms: 10 + 16x + -3x + 24x2 = -10 + 3x + 10 + -3x Combine like terms: 16x + -3x = 13x 10 + 13x + 24x2 = -10 + 3x + 10 + -3x Reorder the terms: 10 + 13x + 24x2 = -10 + 10 + 3x + -3x Combine like terms: -10 + 10 = 0 10 + 13x + 24x2 = 0 + 3x + -3x 10 + 13x + 24x2 = 3x + -3x Combine like terms: 3x + -3x = 0 10 + 13x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.4166666667 + 0.5416666667x + x2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + 0.5416666667x + -0.4166666667 + x2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + 0.5416666667x + x2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + 0.5416666667x + x2 = 0 + -0.4166666667 0.5416666667x + x2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 0.5416666667x + x2 = -0.4166666667 The x term is 0.5416666667x. Take half its coefficient (0.2708333334). Square it (0.07335069448) and add it to both sides. Add '0.07335069448' to each side of the equation. 0.5416666667x + 0.07335069448 + x2 = -0.4166666667 + 0.07335069448 Reorder the terms: 0.07335069448 + 0.5416666667x + x2 = -0.4166666667 + 0.07335069448 Combine like terms: -0.4166666667 + 0.07335069448 = -0.34331597222 0.07335069448 + 0.5416666667x + x2 = -0.34331597222 Factor a perfect square on the left side: (x + 0.2708333334)(x + 0.2708333334) = -0.34331597222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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