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Simplifying 10x4 + -12x2 + 9 = 0 Reorder the terms: 9 + -12x2 + 10x4 = 0 Solving 9 + -12x2 + 10x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + -1.2x2 + x4 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -1.2x2 + -0.9 + x4 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + -1.2x2 + x4 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -1.2x2 + x4 = 0 + -0.9 -1.2x2 + x4 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 -1.2x2 + x4 = -0.9 The x term is -1.2x2. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x2 + 0.36 + x4 = -0.9 + 0.36 Reorder the terms: 0.36 + -1.2x2 + x4 = -0.9 + 0.36 Combine like terms: -0.9 + 0.36 = -0.54 0.36 + -1.2x2 + x4 = -0.54 Factor a perfect square on the left side: (x2 + -0.6)(x2 + -0.6) = -0.54 Can't calculate square root of the right side. The solution to this equation could not be determined.
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