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Simplifying 25x2 + 4x + 1 = 0 Reorder the terms: 1 + 4x + 25x2 = 0 Solving 1 + 4x + 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'. 0.04 + 0.16x + x2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + 0.16x + -0.04 + x2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + 0.16x + x2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 0.16x + x2 = 0 + -0.04 0.16x + x2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 0.16x + x2 = -0.04 The x term is 0.16x. Take half its coefficient (0.08). Square it (0.0064) and add it to both sides. Add '0.0064' to each side of the equation. 0.16x + 0.0064 + x2 = -0.04 + 0.0064 Reorder the terms: 0.0064 + 0.16x + x2 = -0.04 + 0.0064 Combine like terms: -0.04 + 0.0064 = -0.0336 0.0064 + 0.16x + x2 = -0.0336 Factor a perfect square on the left side: (x + 0.08)(x + 0.08) = -0.0336 Can't calculate square root of the right side. The solution to this equation could not be determined.
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