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Simplifying 1x + 2x2 + -5 = 4x2 + -4 Reorder the terms: -5 + 1x + 2x2 = 4x2 + -4 Reorder the terms: -5 + 1x + 2x2 = -4 + 4x2 Solving -5 + 1x + 2x2 = -4 + 4x2 Solving for variable 'x'. Reorder the terms: -5 + 4 + 1x + 2x2 + -4x2 = -4 + 4x2 + 4 + -4x2 Combine like terms: -5 + 4 = -1 -1 + 1x + 2x2 + -4x2 = -4 + 4x2 + 4 + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 -1 + 1x + -2x2 = -4 + 4x2 + 4 + -4x2 Reorder the terms: -1 + 1x + -2x2 = -4 + 4 + 4x2 + -4x2 Combine like terms: -4 + 4 = 0 -1 + 1x + -2x2 = 0 + 4x2 + -4x2 -1 + 1x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1 + 1x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 0.5 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.5x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.5x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5x + x2 = 0 + -0.5 -0.5x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.5x + x2 = -0.5 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 = -0.5 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.5 + 0.0625 Combine like terms: -0.5 + 0.0625 = -0.4375 0.0625 + -0.5x + x2 = -0.4375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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