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Simplifying 7x2 + 8x4 + 6x2 + 9 + 3x4 = 0 Reorder the terms: 9 + 7x2 + 6x2 + 8x4 + 3x4 = 0 Combine like terms: 7x2 + 6x2 = 13x2 9 + 13x2 + 8x4 + 3x4 = 0 Combine like terms: 8x4 + 3x4 = 11x4 9 + 13x2 + 11x4 = 0 Solving 9 + 13x2 + 11x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + 1.181818182x2 + x4 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + 1.181818182x2 + -0.8181818182 + x4 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + 1.181818182x2 + x4 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + 1.181818182x2 + x4 = 0 + -0.8181818182 1.181818182x2 + x4 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 1.181818182x2 + x4 = -0.8181818182 The x term is 1.181818182x2. Take half its coefficient (0.590909091). Square it (0.3491735538) and add it to both sides. Add '0.3491735538' to each side of the equation. 1.181818182x2 + 0.3491735538 + x4 = -0.8181818182 + 0.3491735538 Reorder the terms: 0.3491735538 + 1.181818182x2 + x4 = -0.8181818182 + 0.3491735538 Combine like terms: -0.8181818182 + 0.3491735538 = -0.4690082644 0.3491735538 + 1.181818182x2 + x4 = -0.4690082644 Factor a perfect square on the left side: (x2 + 0.590909091)(x2 + 0.590909091) = -0.4690082644 Can't calculate square root of the right side. The solution to this equation could not be determined.
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