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Simplifying 16x4 + -13x2 + 36 = 0 Reorder the terms: 36 + -13x2 + 16x4 = 0 Solving 36 + -13x2 + 16x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 2.25 + -0.8125x2 + x4 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -0.8125x2 + -2.25 + x4 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -0.8125x2 + x4 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.8125x2 + x4 = 0 + -2.25 -0.8125x2 + x4 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -0.8125x2 + x4 = -2.25 The x term is -0.8125x2. Take half its coefficient (-0.40625). Square it (0.1650390625) and add it to both sides. Add '0.1650390625' to each side of the equation. -0.8125x2 + 0.1650390625 + x4 = -2.25 + 0.1650390625 Reorder the terms: 0.1650390625 + -0.8125x2 + x4 = -2.25 + 0.1650390625 Combine like terms: -2.25 + 0.1650390625 = -2.0849609375 0.1650390625 + -0.8125x2 + x4 = -2.0849609375 Factor a perfect square on the left side: (x2 + -0.40625)(x2 + -0.40625) = -2.0849609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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