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Simplifying x4 + -24x2 + 180 = 0 Reorder the terms: 180 + -24x2 + x4 = 0 Solving 180 + -24x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + -24x2 + -180 + x4 = 0 + -180 Reorder the terms: 180 + -180 + -24x2 + x4 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -24x2 + x4 = 0 + -180 -24x2 + x4 = 0 + -180 Combine like terms: 0 + -180 = -180 -24x2 + x4 = -180 The x term is -24x2. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24x2 + 144 + x4 = -180 + 144 Reorder the terms: 144 + -24x2 + x4 = -180 + 144 Combine like terms: -180 + 144 = -36 144 + -24x2 + x4 = -36 Factor a perfect square on the left side: (x2 + -12)(x2 + -12) = -36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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