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Simplifying 4X2 + 11X + 10 = 0 Reorder the terms: 10 + 11X + 4X2 = 0 Solving 10 + 11X + 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'. 2.5 + 2.75X + X2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 2.75X + -2.5 + X2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2.75X + X2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.75X + X2 = 0 + -2.5 2.75X + X2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2.75X + X2 = -2.5 The X term is 2.75X. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75X + 1.890625 + X2 = -2.5 + 1.890625 Reorder the terms: 1.890625 + 2.75X + X2 = -2.5 + 1.890625 Combine like terms: -2.5 + 1.890625 = -0.609375 1.890625 + 2.75X + X2 = -0.609375 Factor a perfect square on the left side: (X + 1.375)(X + 1.375) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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