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Simplifying (3 + -1x2) + -1(2x2 + -5x4) = 0 Remove parenthesis around (3 + -1x2) 3 + -1x2 + -1(2x2 + -5x4) = 0 3 + -1x2 + (2x2 * -1 + -5x4 * -1) = 0 3 + -1x2 + (-2x2 + 5x4) = 0 Combine like terms: -1x2 + -2x2 = -3x2 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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