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Simplifying 25x2 + 1 = 6x Reorder the terms: 1 + 25x2 = 6x Solving 1 + 25x2 = 6x Solving for variable 'x'. Reorder the terms: 1 + -6x + 25x2 = 6x + -6x Combine like terms: 6x + -6x = 0 1 + -6x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.04 + -0.24x + x2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + -0.24x + -0.04 + x2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + -0.24x + x2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.24x + x2 = 0 + -0.04 -0.24x + x2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 -0.24x + x2 = -0.04 The x term is -0.24x. Take half its coefficient (-0.12). Square it (0.0144) and add it to both sides. Add '0.0144' to each side of the equation. -0.24x + 0.0144 + x2 = -0.04 + 0.0144 Reorder the terms: 0.0144 + -0.24x + x2 = -0.04 + 0.0144 Combine like terms: -0.04 + 0.0144 = -0.0256 0.0144 + -0.24x + x2 = -0.0256 Factor a perfect square on the left side: (x + -0.12)(x + -0.12) = -0.0256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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