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Simplifying 2x2 + 8x + 20 = 5x Reorder the terms: 20 + 8x + 2x2 = 5x Solving 20 + 8x + 2x2 = 5x Solving for variable 'x'. Reorder the terms: 20 + 8x + -5x + 2x2 = 5x + -5x Combine like terms: 8x + -5x = 3x 20 + 3x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 20 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 10 + 1.5x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 1.5x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 1.5x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1.5x + x2 = 0 + -10 1.5x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 1.5x + x2 = -10 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -10 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -10 + 0.5625 Combine like terms: -10 + 0.5625 = -9.4375 0.5625 + 1.5x + x2 = -9.4375 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -9.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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