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Simplifying X2 + -19X + 178 = 0 Reorder the terms: 178 + -19X + X2 = 0 Solving 178 + -19X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-178' to each side of the equation. 178 + -19X + -178 + X2 = 0 + -178 Reorder the terms: 178 + -178 + -19X + X2 = 0 + -178 Combine like terms: 178 + -178 = 0 0 + -19X + X2 = 0 + -178 -19X + X2 = 0 + -178 Combine like terms: 0 + -178 = -178 -19X + X2 = -178 The X term is -19X. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19X + 90.25 + X2 = -178 + 90.25 Reorder the terms: 90.25 + -19X + X2 = -178 + 90.25 Combine like terms: -178 + 90.25 = -87.75 90.25 + -19X + X2 = -87.75 Factor a perfect square on the left side: (X + -9.5)(X + -9.5) = -87.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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