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Simplifying x2 + -8x + 20 = 2x + -21 Reorder the terms: 20 + -8x + x2 = 2x + -21 Reorder the terms: 20 + -8x + x2 = -21 + 2x Solving 20 + -8x + x2 = -21 + 2x Solving for variable 'x'. Reorder the terms: 20 + 21 + -8x + -2x + x2 = -21 + 2x + 21 + -2x Combine like terms: 20 + 21 = 41 41 + -8x + -2x + x2 = -21 + 2x + 21 + -2x Combine like terms: -8x + -2x = -10x 41 + -10x + x2 = -21 + 2x + 21 + -2x Reorder the terms: 41 + -10x + x2 = -21 + 21 + 2x + -2x Combine like terms: -21 + 21 = 0 41 + -10x + x2 = 0 + 2x + -2x 41 + -10x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 41 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -10x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -10x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -10x + x2 = 0 + -41 -10x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -10x + x2 = -41 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -41 + 25 Reorder the terms: 25 + -10x + x2 = -41 + 25 Combine like terms: -41 + 25 = -16 25 + -10x + x2 = -16 Factor a perfect square on the left side: (x + -5)(x + -5) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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