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Simplifying 25x4 + -6x2 + 36 = 0 Reorder the terms: 36 + -6x2 + 25x4 = 0 Solving 36 + -6x2 + 25x4 = 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'. 1.44 + -0.24x2 + x4 = 0 Move the constant term to the right: Add '-1.44' to each side of the equation. 1.44 + -0.24x2 + -1.44 + x4 = 0 + -1.44 Reorder the terms: 1.44 + -1.44 + -0.24x2 + x4 = 0 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.24x2 + x4 = 0 + -1.44 -0.24x2 + x4 = 0 + -1.44 Combine like terms: 0 + -1.44 = -1.44 -0.24x2 + x4 = -1.44 The x term is -0.24x2. 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. -0.24x2 + 0.0144 + x4 = -1.44 + 0.0144 Reorder the terms: 0.0144 + -0.24x2 + x4 = -1.44 + 0.0144 Combine like terms: -1.44 + 0.0144 = -1.4256 0.0144 + -0.24x2 + x4 = -1.4256 Factor a perfect square on the left side: (x2 + -0.12)(x2 + -0.12) = -1.4256 Can't calculate square root of the right side. The solution to this equation could not be determined.
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