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Simplifying x2 = x + -20 Reorder the terms: x2 = -20 + x Solving x2 = -20 + x Solving for variable 'x'. Reorder the terms: 20 + -1x + x2 = -20 + x + 20 + -1x Reorder the terms: 20 + -1x + x2 = -20 + 20 + x + -1x Combine like terms: -20 + 20 = 0 20 + -1x + x2 = 0 + x + -1x 20 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 20 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -1x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x + x2 = 0 + -20 -1x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x + x2 = -20 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -20 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + -1x + x2 = -19.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -19.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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