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Simplifying 9x2 + 30x4 + 25 = 0 Reorder the terms: 25 + 9x2 + 30x4 = 0 Solving 25 + 9x2 + 30x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 30 the coefficient of the squared term: Divide each side by '30'. 0.8333333333 + 0.3x2 + x4 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + 0.3x2 + -0.8333333333 + x4 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + 0.3x2 + x4 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + 0.3x2 + x4 = 0 + -0.8333333333 0.3x2 + x4 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 0.3x2 + x4 = -0.8333333333 The x term is 0.3x2. Take half its coefficient (0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. 0.3x2 + 0.0225 + x4 = -0.8333333333 + 0.0225 Reorder the terms: 0.0225 + 0.3x2 + x4 = -0.8333333333 + 0.0225 Combine like terms: -0.8333333333 + 0.0225 = -0.8108333333 0.0225 + 0.3x2 + x4 = -0.8108333333 Factor a perfect square on the left side: (x2 + 0.15)(x2 + 0.15) = -0.8108333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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