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Simplifying 3(2x + 12) = -2x(x + -4) + x Reorder the terms: 3(12 + 2x) = -2x(x + -4) + x (12 * 3 + 2x * 3) = -2x(x + -4) + x (36 + 6x) = -2x(x + -4) + x Reorder the terms: 36 + 6x = -2x(-4 + x) + x 36 + 6x = (-4 * -2x + x * -2x) + x 36 + 6x = (8x + -2x2) + x Reorder the terms: 36 + 6x = 8x + x + -2x2 Combine like terms: 8x + x = 9x 36 + 6x = 9x + -2x2 Solving 36 + 6x = 9x + -2x2 Solving for variable 'x'. Combine like terms: 6x + -9x = -3x 36 + -3x + 2x2 = 9x + -2x2 + -9x + 2x2 Reorder the terms: 36 + -3x + 2x2 = 9x + -9x + -2x2 + 2x2 Combine like terms: 9x + -9x = 0 36 + -3x + 2x2 = 0 + -2x2 + 2x2 36 + -3x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 36 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 18 + -1.5x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -1.5x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -1.5x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1.5x + x2 = 0 + -18 -1.5x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1.5x + x2 = -18 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -18 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -18 + 0.5625 Combine like terms: -18 + 0.5625 = -17.4375 0.5625 + -1.5x + x2 = -17.4375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -17.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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