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Simplifying 4X2 + 4X + 89 = 0 Reorder the terms: 89 + 4X + 4X2 = 0 Solving 89 + 4X + 4X2 = 0 Solving for variable 'X'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 22.25 + X + X2 = 0 Move the constant term to the right: Add '-22.25' to each side of the equation. 22.25 + X + -22.25 + X2 = 0 + -22.25 Reorder the terms: 22.25 + -22.25 + X + X2 = 0 + -22.25 Combine like terms: 22.25 + -22.25 = 0.00 0.00 + X + X2 = 0 + -22.25 X + X2 = 0 + -22.25 Combine like terms: 0 + -22.25 = -22.25 X + X2 = -22.25 The X term is X. 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. + 0.25 + X2 = -22.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + X2 = -22.25 + 0.25 Combine like terms: -22.25 + 0.25 = -22 1.25 + X2 = -22 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -22 Can't calculate square root of the right side. The solution to this equation could not be determined.
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