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Simplifying 4x2 + 40x + 103 = 0 Reorder the terms: 103 + 40x + 4x2 = 0 Solving 103 + 40x + 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'. 25.75 + 10x + x2 = 0 Move the constant term to the right: Add '-25.75' to each side of the equation. 25.75 + 10x + -25.75 + x2 = 0 + -25.75 Reorder the terms: 25.75 + -25.75 + 10x + x2 = 0 + -25.75 Combine like terms: 25.75 + -25.75 = 0.00 0.00 + 10x + x2 = 0 + -25.75 10x + x2 = 0 + -25.75 Combine like terms: 0 + -25.75 = -25.75 10x + x2 = -25.75 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -25.75 + 25 Reorder the terms: 25 + 10x + x2 = -25.75 + 25 Combine like terms: -25.75 + 25 = -0.75 25 + 10x + x2 = -0.75 Factor a perfect square on the left side: (x + 5)(x + 5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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