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Simplifying 2X2 + 2X = -65 Reorder the terms: 2X + 2X2 = -65 Solving 2X + 2X2 = -65 Solving for variable 'X'. Reorder the terms: 65 + 2X + 2X2 = -65 + 65 Combine like terms: -65 + 65 = 0 65 + 2X + 2X2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 32.5 + X + X2 = 0 Move the constant term to the right: Add '-32.5' to each side of the equation. 32.5 + X + -32.5 + X2 = 0 + -32.5 Reorder the terms: 32.5 + -32.5 + X + X2 = 0 + -32.5 Combine like terms: 32.5 + -32.5 = 0.0 0.0 + X + X2 = 0 + -32.5 X + X2 = 0 + -32.5 Combine like terms: 0 + -32.5 = -32.5 X + X2 = -32.5 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 = -32.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + X2 = -32.5 + 0.25 Combine like terms: -32.5 + 0.25 = -32.25 1.25 + X2 = -32.25 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -32.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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