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Simplifying x = 2x2 + -4x + 20 Reorder the terms: x = 20 + -4x + 2x2 Solving x = 20 + -4x + 2x2 Solving for variable 'x'. Reorder the terms: -20 + x + 4x + -2x2 = 20 + -4x + 2x2 + -20 + 4x + -2x2 Combine like terms: x + 4x = 5x -20 + 5x + -2x2 = 20 + -4x + 2x2 + -20 + 4x + -2x2 Reorder the terms: -20 + 5x + -2x2 = 20 + -20 + -4x + 4x + 2x2 + -2x2 Combine like terms: 20 + -20 = 0 -20 + 5x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 -20 + 5x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 -20 + 5x + -2x2 = 0 + 2x2 + -2x2 -20 + 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -20 + 5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 10 + -2.5x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2.5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -2.5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2.5x + x2 = 0 + -10 -2.5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2.5x + x2 = -10 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -10 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -10 + 1.5625 Combine like terms: -10 + 1.5625 = -8.4375 1.5625 + -2.5x + x2 = -8.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -8.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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