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Simplifying X4 + -23X2 + 144 = 0 Reorder the terms: 144 + -23X2 + X4 = 0 Solving 144 + -23X2 + X4 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-144' to each side of the equation. 144 + -23X2 + -144 + X4 = 0 + -144 Reorder the terms: 144 + -144 + -23X2 + X4 = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -23X2 + X4 = 0 + -144 -23X2 + X4 = 0 + -144 Combine like terms: 0 + -144 = -144 -23X2 + X4 = -144 The X term is -23X2. Take half its coefficient (-11.5). Square it (132.25) and add it to both sides. Add '132.25' to each side of the equation. -23X2 + 132.25 + X4 = -144 + 132.25 Reorder the terms: 132.25 + -23X2 + X4 = -144 + 132.25 Combine like terms: -144 + 132.25 = -11.75 132.25 + -23X2 + X4 = -11.75 Factor a perfect square on the left side: (X2 + -11.5)(X2 + -11.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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