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Simplifying 8x(3x + 2) = -5(2 + -1x) + 3 Reorder the terms: 8x(2 + 3x) = -5(2 + -1x) + 3 (2 * 8x + 3x * 8x) = -5(2 + -1x) + 3 (16x + 24x2) = -5(2 + -1x) + 3 16x + 24x2 = (2 * -5 + -1x * -5) + 3 16x + 24x2 = (-10 + 5x) + 3 Reorder the terms: 16x + 24x2 = -10 + 3 + 5x Combine like terms: -10 + 3 = -7 16x + 24x2 = -7 + 5x Solving 16x + 24x2 = -7 + 5x Solving for variable 'x'. Reorder the terms: 7 + 16x + -5x + 24x2 = -7 + 5x + 7 + -5x Combine like terms: 16x + -5x = 11x 7 + 11x + 24x2 = -7 + 5x + 7 + -5x Reorder the terms: 7 + 11x + 24x2 = -7 + 7 + 5x + -5x Combine like terms: -7 + 7 = 0 7 + 11x + 24x2 = 0 + 5x + -5x 7 + 11x + 24x2 = 5x + -5x Combine like terms: 5x + -5x = 0 7 + 11x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.2916666667 + 0.4583333333x + x2 = 0 Move the constant term to the right: Add '-0.2916666667' to each side of the equation. 0.2916666667 + 0.4583333333x + -0.2916666667 + x2 = 0 + -0.2916666667 Reorder the terms: 0.2916666667 + -0.2916666667 + 0.4583333333x + x2 = 0 + -0.2916666667 Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000 0.0000000000 + 0.4583333333x + x2 = 0 + -0.2916666667 0.4583333333x + x2 = 0 + -0.2916666667 Combine like terms: 0 + -0.2916666667 = -0.2916666667 0.4583333333x + x2 = -0.2916666667 The x term is 0.4583333333x. Take half its coefficient (0.2291666667). Square it (0.05251736113) and add it to both sides. Add '0.05251736113' to each side of the equation. 0.4583333333x + 0.05251736113 + x2 = -0.2916666667 + 0.05251736113 Reorder the terms: 0.05251736113 + 0.4583333333x + x2 = -0.2916666667 + 0.05251736113 Combine like terms: -0.2916666667 + 0.05251736113 = -0.23914930557 0.05251736113 + 0.4583333333x + x2 = -0.23914930557 Factor a perfect square on the left side: (x + 0.2291666667)(x + 0.2291666667) = -0.23914930557 Can't calculate square root of the right side. The solution to this equation could not be determined.
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