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Simplifying 3x + -12 + -4x + 8 = x2 + -4x + -6x + 24 Reorder the terms: -12 + 8 + 3x + -4x = x2 + -4x + -6x + 24 Combine like terms: -12 + 8 = -4 -4 + 3x + -4x = x2 + -4x + -6x + 24 Combine like terms: 3x + -4x = -1x -4 + -1x = x2 + -4x + -6x + 24 Reorder the terms: -4 + -1x = 24 + -4x + -6x + x2 Combine like terms: -4x + -6x = -10x -4 + -1x = 24 + -10x + x2 Solving -4 + -1x = 24 + -10x + x2 Solving for variable 'x'. Reorder the terms: -4 + -24 + -1x + 10x + -1x2 = 24 + -10x + x2 + -24 + 10x + -1x2 Combine like terms: -4 + -24 = -28 -28 + -1x + 10x + -1x2 = 24 + -10x + x2 + -24 + 10x + -1x2 Combine like terms: -1x + 10x = 9x -28 + 9x + -1x2 = 24 + -10x + x2 + -24 + 10x + -1x2 Reorder the terms: -28 + 9x + -1x2 = 24 + -24 + -10x + 10x + x2 + -1x2 Combine like terms: 24 + -24 = 0 -28 + 9x + -1x2 = 0 + -10x + 10x + x2 + -1x2 -28 + 9x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 -28 + 9x + -1x2 = 0 + x2 + -1x2 -28 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -28 + 9x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 28 + -9x + x2 = 0 Move the constant term to the right: Add '-28' to each side of the equation. 28 + -9x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -9x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -9x + x2 = 0 + -28 -9x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -9x + x2 = -28 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -28 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -28 + 20.25 Combine like terms: -28 + 20.25 = -7.75 20.25 + -9x + x2 = -7.75 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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