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Simplifying 3x(2x + -3) = -8(2x + 1) + -7 Reorder the terms: 3x(-3 + 2x) = -8(2x + 1) + -7 (-3 * 3x + 2x * 3x) = -8(2x + 1) + -7 (-9x + 6x2) = -8(2x + 1) + -7 Reorder the terms: -9x + 6x2 = -8(1 + 2x) + -7 -9x + 6x2 = (1 * -8 + 2x * -8) + -7 -9x + 6x2 = (-8 + -16x) + -7 Reorder the terms: -9x + 6x2 = -8 + -7 + -16x Combine like terms: -8 + -7 = -15 -9x + 6x2 = -15 + -16x Solving -9x + 6x2 = -15 + -16x Solving for variable 'x'. Reorder the terms: 15 + -9x + 16x + 6x2 = -15 + -16x + 15 + 16x Combine like terms: -9x + 16x = 7x 15 + 7x + 6x2 = -15 + -16x + 15 + 16x Reorder the terms: 15 + 7x + 6x2 = -15 + 15 + -16x + 16x Combine like terms: -15 + 15 = 0 15 + 7x + 6x2 = 0 + -16x + 16x 15 + 7x + 6x2 = -16x + 16x Combine like terms: -16x + 16x = 0 15 + 7x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.5 + 1.166666667x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 1.166666667x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 1.166666667x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1.166666667x + x2 = 0 + -2.5 1.166666667x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1.166666667x + x2 = -2.5 The x term is 1.166666667x. Take half its coefficient (0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. 1.166666667x + 0.3402777780 + x2 = -2.5 + 0.3402777780 Reorder the terms: 0.3402777780 + 1.166666667x + x2 = -2.5 + 0.3402777780 Combine like terms: -2.5 + 0.3402777780 = -2.159722222 0.3402777780 + 1.166666667x + x2 = -2.159722222 Factor a perfect square on the left side: (x + 0.5833333335)(x + 0.5833333335) = -2.159722222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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