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Simplifying X2 + 78X + 2500 = 0 Reorder the terms: 2500 + 78X + X2 = 0 Solving 2500 + 78X + X2 = 0 Solving for variable 'X'. Begin completing the square. Move the constant term to the right: Add '-2500' to each side of the equation. 2500 + 78X + -2500 + X2 = 0 + -2500 Reorder the terms: 2500 + -2500 + 78X + X2 = 0 + -2500 Combine like terms: 2500 + -2500 = 0 0 + 78X + X2 = 0 + -2500 78X + X2 = 0 + -2500 Combine like terms: 0 + -2500 = -2500 78X + X2 = -2500 The X term is 78X. Take half its coefficient (39). Square it (1521) and add it to both sides. Add '1521' to each side of the equation. 78X + 1521 + X2 = -2500 + 1521 Reorder the terms: 1521 + 78X + X2 = -2500 + 1521 Combine like terms: -2500 + 1521 = -979 1521 + 78X + X2 = -979 Factor a perfect square on the left side: (X + 39)(X + 39) = -979 Can't calculate square root of the right side. The solution to this equation could not be determined.
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