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Simplifying 4x2 + 4x + 65 = 0 Reorder the terms: 65 + 4x + 4x2 = 0 Solving 65 + 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'. 16.25 + x + x2 = 0 Move the constant term to the right: Add '-16.25' to each side of the equation. 16.25 + x + -16.25 + x2 = 0 + -16.25 Reorder the terms: 16.25 + -16.25 + x + x2 = 0 + -16.25 Combine like terms: 16.25 + -16.25 = 0.00 0.00 + x + x2 = 0 + -16.25 x + x2 = 0 + -16.25 Combine like terms: 0 + -16.25 = -16.25 x + x2 = -16.25 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 = -16.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -16.25 + 0.25 Combine like terms: -16.25 + 0.25 = -16 1.25 + x2 = -16 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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