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Simplifying x2 + -40x + 2304 = 0 Reorder the terms: 2304 + -40x + x2 = 0 Solving 2304 + -40x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2304' to each side of the equation. 2304 + -40x + -2304 + x2 = 0 + -2304 Reorder the terms: 2304 + -2304 + -40x + x2 = 0 + -2304 Combine like terms: 2304 + -2304 = 0 0 + -40x + x2 = 0 + -2304 -40x + x2 = 0 + -2304 Combine like terms: 0 + -2304 = -2304 -40x + x2 = -2304 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -2304 + 400 Reorder the terms: 400 + -40x + x2 = -2304 + 400 Combine like terms: -2304 + 400 = -1904 400 + -40x + x2 = -1904 Factor a perfect square on the left side: (x + -20)(x + -20) = -1904 Can't calculate square root of the right side. The solution to this equation could not be determined.
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