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Simplifying 25x2 + 1 = 8x Reorder the terms: 1 + 25x2 = 8x Solving 1 + 25x2 = 8x Solving for variable 'x'. Reorder the terms: 1 + -8x + 25x2 = 8x + -8x Combine like terms: 8x + -8x = 0 1 + -8x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.04 + -0.32x + x2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + -0.32x + -0.04 + x2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + -0.32x + x2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.32x + x2 = 0 + -0.04 -0.32x + x2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 -0.32x + x2 = -0.04 The x term is -0.32x. Take half its coefficient (-0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. -0.32x + 0.0256 + x2 = -0.04 + 0.0256 Reorder the terms: 0.0256 + -0.32x + x2 = -0.04 + 0.0256 Combine like terms: -0.04 + 0.0256 = -0.0144 0.0256 + -0.32x + x2 = -0.0144 Factor a perfect square on the left side: (x + -0.16)(x + -0.16) = -0.0144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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