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Simplifying 3x2 + -5x4 + -5 = 0 Reorder the terms: -5 + 3x2 + -5x4 = 0 Solving -5 + 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'. 1 + -0.6x2 + x4 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.6x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + -0.6x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.6x2 + x4 = 0 + -1 -0.6x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.6x2 + x4 = -1 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 = -1 + 0.09 Reorder the terms: 0.09 + -0.6x2 + x4 = -1 + 0.09 Combine like terms: -1 + 0.09 = -0.91 0.09 + -0.6x2 + x4 = -0.91 Factor a perfect square on the left side: (x2 + -0.3)(x2 + -0.3) = -0.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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