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Simplifying 5x2 + 46x + 125 = 0 Reorder the terms: 125 + 46x + 5x2 = 0 Solving 125 + 46x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 25 + 9.2x + x2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + 9.2x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 9.2x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 9.2x + x2 = 0 + -25 9.2x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 9.2x + x2 = -25 The x term is 9.2x. Take half its coefficient (4.6). Square it (21.16) and add it to both sides. Add '21.16' to each side of the equation. 9.2x + 21.16 + x2 = -25 + 21.16 Reorder the terms: 21.16 + 9.2x + x2 = -25 + 21.16 Combine like terms: -25 + 21.16 = -3.84 21.16 + 9.2x + x2 = -3.84 Factor a perfect square on the left side: (x + 4.6)(x + 4.6) = -3.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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