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Simplifying X2 + 14X + 140 = 0 Reorder the terms: 140 + 14X + X2 = 0 Solving 140 + 14X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-140' to each side of the equation. 140 + 14X + -140 + X2 = 0 + -140 Reorder the terms: 140 + -140 + 14X + X2 = 0 + -140 Combine like terms: 140 + -140 = 0 0 + 14X + X2 = 0 + -140 14X + X2 = 0 + -140 Combine like terms: 0 + -140 = -140 14X + X2 = -140 The X term is 14X. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14X + 49 + X2 = -140 + 49 Reorder the terms: 49 + 14X + X2 = -140 + 49 Combine like terms: -140 + 49 = -91 49 + 14X + X2 = -91 Factor a perfect square on the left side: (X + 7)(X + 7) = -91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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