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Simplifying 15x4 + 3x2 + 4 = 0 Reorder the terms: 4 + 3x2 + 15x4 = 0 Solving 4 + 3x2 + 15x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.2666666667 + 0.2x2 + x4 = 0 Move the constant term to the right: Add '-0.2666666667' to each side of the equation. 0.2666666667 + 0.2x2 + -0.2666666667 + x4 = 0 + -0.2666666667 Reorder the terms: 0.2666666667 + -0.2666666667 + 0.2x2 + x4 = 0 + -0.2666666667 Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000 0.0000000000 + 0.2x2 + x4 = 0 + -0.2666666667 0.2x2 + x4 = 0 + -0.2666666667 Combine like terms: 0 + -0.2666666667 = -0.2666666667 0.2x2 + x4 = -0.2666666667 The x term is 0.2x2. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x2 + 0.01 + x4 = -0.2666666667 + 0.01 Reorder the terms: 0.01 + 0.2x2 + x4 = -0.2666666667 + 0.01 Combine like terms: -0.2666666667 + 0.01 = -0.2566666667 0.01 + 0.2x2 + x4 = -0.2566666667 Factor a perfect square on the left side: (x2 + 0.1)(x2 + 0.1) = -0.2566666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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