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Simplifying (3x4 + 3x2) + -1(-6x2 + -5 + -2x4) = 0 Reorder the terms: (3x2 + 3x4) + -1(-6x2 + -5 + -2x4) = 0 Remove parenthesis around (3x2 + 3x4) 3x2 + 3x4 + -1(-6x2 + -5 + -2x4) = 0 Reorder the terms: 3x2 + 3x4 + -1(-5 + -6x2 + -2x4) = 0 3x2 + 3x4 + (-5 * -1 + -6x2 * -1 + -2x4 * -1) = 0 3x2 + 3x4 + (5 + 6x2 + 2x4) = 0 Reorder the terms: 5 + 3x2 + 6x2 + 3x4 + 2x4 = 0 Combine like terms: 3x2 + 6x2 = 9x2 5 + 9x2 + 3x4 + 2x4 = 0 Combine like terms: 3x4 + 2x4 = 5x4 5 + 9x2 + 5x4 = 0 Solving 5 + 9x2 + 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 + 1.8x2 + x4 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.8x2 + -1 + x4 = 0 + -1 Reorder the terms: 1 + -1 + 1.8x2 + x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.8x2 + x4 = 0 + -1 1.8x2 + x4 = 0 + -1 Combine like terms: 0 + -1 = -1 1.8x2 + x4 = -1 The x term is 1.8x2. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8x2 + 0.81 + x4 = -1 + 0.81 Reorder the terms: 0.81 + 1.8x2 + x4 = -1 + 0.81 Combine like terms: -1 + 0.81 = -0.19 0.81 + 1.8x2 + x4 = -0.19 Factor a perfect square on the left side: (x2 + 0.9)(x2 + 0.9) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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