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Simplifying x2 + 2x + 2x + 4 + x2 + -3x = 1 Reorder the terms: 4 + 2x + 2x + -3x + x2 + x2 = 1 Combine like terms: 2x + 2x = 4x 4 + 4x + -3x + x2 + x2 = 1 Combine like terms: 4x + -3x = 1x 4 + 1x + x2 + x2 = 1 Combine like terms: x2 + x2 = 2x2 4 + 1x + 2x2 = 1 Solving 4 + 1x + 2x2 = 1 Solving for variable 'x'. Reorder the terms: 4 + -1 + 1x + 2x2 = 1 + -1 Combine like terms: 4 + -1 = 3 3 + 1x + 2x2 = 1 + -1 Combine like terms: 1 + -1 = 0 3 + 1x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 0.5x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.5x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.5x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x + x2 = 0 + -1.5 0.5x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.5x + x2 = -1.5 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x2 = -1.5 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -1.5 + 0.0625 Combine like terms: -1.5 + 0.0625 = -1.4375 0.0625 + 0.5x + x2 = -1.4375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -1.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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