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Simplifying 25x2 + x + 7 = 0 Reorder the terms: 7 + x + 25x2 = 0 Solving 7 + x + 25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.28 + 0.04x + x2 = 0 Move the constant term to the right: Add '-0.28' to each side of the equation. 0.28 + 0.04x + -0.28 + x2 = 0 + -0.28 Reorder the terms: 0.28 + -0.28 + 0.04x + x2 = 0 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + 0.04x + x2 = 0 + -0.28 0.04x + x2 = 0 + -0.28 Combine like terms: 0 + -0.28 = -0.28 0.04x + x2 = -0.28 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. 0.04x + 0.25 + x2 = -0.28 + 0.25 Reorder the terms: 0.25 + 0.04x + x2 = -0.28 + 0.25 Combine like terms: -0.28 + 0.25 = -0.03 0.25 + 0.04x + x2 = -0.03 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.03 Can't calculate square root of the right side. The solution to this equation could not be determined.
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