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Simplifying x2 = 28x + -228 Reorder the terms: x2 = -228 + 28x Solving x2 = -228 + 28x Solving for variable 'x'. Reorder the terms: 228 + -28x + x2 = -228 + 28x + 228 + -28x Reorder the terms: 228 + -28x + x2 = -228 + 228 + 28x + -28x Combine like terms: -228 + 228 = 0 228 + -28x + x2 = 0 + 28x + -28x 228 + -28x + x2 = 28x + -28x Combine like terms: 28x + -28x = 0 228 + -28x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-228' to each side of the equation. 228 + -28x + -228 + x2 = 0 + -228 Reorder the terms: 228 + -228 + -28x + x2 = 0 + -228 Combine like terms: 228 + -228 = 0 0 + -28x + x2 = 0 + -228 -28x + x2 = 0 + -228 Combine like terms: 0 + -228 = -228 -28x + x2 = -228 The x term is -28x. Take half its coefficient (-14). Square it (196) and add it to both sides. Add '196' to each side of the equation. -28x + 196 + x2 = -228 + 196 Reorder the terms: 196 + -28x + x2 = -228 + 196 Combine like terms: -228 + 196 = -32 196 + -28x + x2 = -32 Factor a perfect square on the left side: (x + -14)(x + -14) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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