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Simplifying (5x4) + (3x2) + 3 = 0 Reorder the terms: 3 + (3x2) + (5x4) = 0 Solving 3 + (3x2) + (5x4) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + (0.6x2) + x4 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + (0.6x2) + -0.6 + x4 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + (0.6x2) + x4 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + (0.6x2) + x4 = 0 + -0.6 (0.6x2) + x4 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 (0.6x2) + x4 = -0.6 The x term is (0.6x2). Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. (0.6x2) + 0.09 + x4 = -0.6 + 0.09 Reorder the terms: 0.09 + (0.6x2) + x4 = -0.6 + 0.09 Combine like terms: -0.6 + 0.09 = -0.51 0.09 + (0.6x2) + x4 = -0.51 Factor a perfect square on the left side: ((x2) + 0.3)((x2) + 0.3) = -0.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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