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Simplifying 490 = X(10 + -1X) 490 = (10 * X + -1X * X) 490 = (10X + -1X2) Solving 490 = 10X + -1X2 Solving for variable 'X'. Reorder the terms: 490 + -10X + X2 = 10X + -10X + -1X2 + X2 Combine like terms: 10X + -10X = 0 490 + -10X + X2 = 0 + -1X2 + X2 490 + -10X + X2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 490 + -10X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-490' to each side of the equation. 490 + -10X + -490 + X2 = 0 + -490 Reorder the terms: 490 + -490 + -10X + X2 = 0 + -490 Combine like terms: 490 + -490 = 0 0 + -10X + X2 = 0 + -490 -10X + X2 = 0 + -490 Combine like terms: 0 + -490 = -490 -10X + X2 = -490 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 = -490 + 25 Reorder the terms: 25 + -10X + X2 = -490 + 25 Combine like terms: -490 + 25 = -465 25 + -10X + X2 = -465 Factor a perfect square on the left side: (X + -5)(X + -5) = -465 Can't calculate square root of the right side. The solution to this equation could not be determined.
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