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Simplifying x2 + 4 + 4x + 4 = 3x + -12 Reorder the terms: 4 + 4 + 4x + x2 = 3x + -12 Combine like terms: 4 + 4 = 8 8 + 4x + x2 = 3x + -12 Reorder the terms: 8 + 4x + x2 = -12 + 3x Solving 8 + 4x + x2 = -12 + 3x Solving for variable 'x'. Reorder the terms: 8 + 12 + 4x + -3x + x2 = -12 + 3x + 12 + -3x Combine like terms: 8 + 12 = 20 20 + 4x + -3x + x2 = -12 + 3x + 12 + -3x Combine like terms: 4x + -3x = 1x 20 + 1x + x2 = -12 + 3x + 12 + -3x Reorder the terms: 20 + 1x + x2 = -12 + 12 + 3x + -3x Combine like terms: -12 + 12 = 0 20 + 1x + x2 = 0 + 3x + -3x 20 + 1x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 20 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 1x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 1x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 1x + x2 = 0 + -20 1x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 1x + x2 = -20 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -20 + 0.25 Reorder the terms: 0.25 + x + x2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + x + x2 = -19.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -19.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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