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Simplifying x2 + 105x + 8400 = 0 Reorder the terms: 8400 + 105x + x2 = 0 Solving 8400 + 105x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-8400' to each side of the equation. 8400 + 105x + -8400 + x2 = 0 + -8400 Reorder the terms: 8400 + -8400 + 105x + x2 = 0 + -8400 Combine like terms: 8400 + -8400 = 0 0 + 105x + x2 = 0 + -8400 105x + x2 = 0 + -8400 Combine like terms: 0 + -8400 = -8400 105x + x2 = -8400 The x term is 105x. Take half its coefficient (52.5). Square it (2756.25) and add it to both sides. Add '2756.25' to each side of the equation. 105x + 2756.25 + x2 = -8400 + 2756.25 Reorder the terms: 2756.25 + 105x + x2 = -8400 + 2756.25 Combine like terms: -8400 + 2756.25 = -5643.75 2756.25 + 105x + x2 = -5643.75 Factor a perfect square on the left side: (x + 52.5)(x + 52.5) = -5643.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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