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Simplifying 5x = x2 + 4x + 4 Reorder the terms: 5x = 4 + 4x + x2 Solving 5x = 4 + 4x + x2 Solving for variable 'x'. Reorder the terms: -4 + 5x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 5x + -4x = 1x -4 + 1x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Reorder the terms: -4 + 1x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 -4 + 1x + -1x2 = 0 + 4x + -4x + x2 + -1x2 -4 + 1x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -4 + 1x + -1x2 = 0 + x2 + -1x2 -4 + 1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 1x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 4 + -1x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -1x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -1x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + x2 = 0 + -4 -1x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x + x2 = -4 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. -1x + 0.25 + x2 = -4 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 0.25 + -1x + x2 = -3.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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