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Simplifying 4x2 + x = -3 + -1x Reorder the terms: x + 4x2 = -3 + -1x Solving x + 4x2 = -3 + -1x Solving for variable 'x'. Reorder the terms: 3 + x + x + 4x2 = -3 + -1x + 3 + x Combine like terms: x + x = 2x 3 + 2x + 4x2 = -3 + -1x + 3 + x Reorder the terms: 3 + 2x + 4x2 = -3 + 3 + -1x + x Combine like terms: -3 + 3 = 0 3 + 2x + 4x2 = 0 + -1x + x 3 + 2x + 4x2 = -1x + x Combine like terms: -1x + x = 0 3 + 2x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + 0.5x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.5x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.5x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.5x + x2 = 0 + -0.75 0.5x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.5x + x2 = -0.75 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 = -0.75 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x2 = -0.75 + 0.0625 Combine like terms: -0.75 + 0.0625 = -0.6875 0.0625 + 0.5x + x2 = -0.6875 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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