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Simplifying 2(3x + -3) + 2(x + -3) = (2x + -1) + (2x + -1) * 2x Reorder the terms: 2(-3 + 3x) + 2(x + -3) = (2x + -1) + (2x + -1) * 2x (-3 * 2 + 3x * 2) + 2(x + -3) = (2x + -1) + (2x + -1) * 2x (-6 + 6x) + 2(x + -3) = (2x + -1) + (2x + -1) * 2x Reorder the terms: -6 + 6x + 2(-3 + x) = (2x + -1) + (2x + -1) * 2x -6 + 6x + (-3 * 2 + x * 2) = (2x + -1) + (2x + -1) * 2x -6 + 6x + (-6 + 2x) = (2x + -1) + (2x + -1) * 2x Reorder the terms: -6 + -6 + 6x + 2x = (2x + -1) + (2x + -1) * 2x Combine like terms: -6 + -6 = -12 -12 + 6x + 2x = (2x + -1) + (2x + -1) * 2x Combine like terms: 6x + 2x = 8x -12 + 8x = (2x + -1) + (2x + -1) * 2x Reorder the terms: -12 + 8x = (-1 + 2x) + (2x + -1) * 2x Remove parenthesis around (-1 + 2x) -12 + 8x = -1 + 2x + (2x + -1) * 2x Reorder the terms: -12 + 8x = -1 + 2x + (-1 + 2x) * 2x Reorder the terms for easier multiplication: -12 + 8x = -1 + 2x + 2x(-1 + 2x) -12 + 8x = -1 + 2x + (-1 * 2x + 2x * 2x) -12 + 8x = -1 + 2x + (-2x + 4x2) Combine like terms: 2x + -2x = 0 -12 + 8x = -1 + 0 + 4x2 -12 + 8x = -1 + 4x2 Solving -12 + 8x = -1 + 4x2 Solving for variable 'x'. Reorder the terms: -12 + 1 + 8x + -4x2 = -1 + 4x2 + 1 + -4x2 Combine like terms: -12 + 1 = -11 -11 + 8x + -4x2 = -1 + 4x2 + 1 + -4x2 Reorder the terms: -11 + 8x + -4x2 = -1 + 1 + 4x2 + -4x2 Combine like terms: -1 + 1 = 0 -11 + 8x + -4x2 = 0 + 4x2 + -4x2 -11 + 8x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -11 + 8x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2.75 + -2x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -2x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -2x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -2x + x2 = 0 + -2.75 -2x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -2x + x2 = -2.75 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2.75 + 1 Reorder the terms: 1 + -2x + x2 = -2.75 + 1 Combine like terms: -2.75 + 1 = -1.75 1 + -2x + x2 = -1.75 Factor a perfect square on the left side: (x + -1)(x + -1) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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