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Simplifying x2 + -42x + 480 = 0 Reorder the terms: 480 + -42x + x2 = 0 Solving 480 + -42x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-480' to each side of the equation. 480 + -42x + -480 + x2 = 0 + -480 Reorder the terms: 480 + -480 + -42x + x2 = 0 + -480 Combine like terms: 480 + -480 = 0 0 + -42x + x2 = 0 + -480 -42x + x2 = 0 + -480 Combine like terms: 0 + -480 = -480 -42x + x2 = -480 The x term is -42x. Take half its coefficient (-21). Square it (441) and add it to both sides. Add '441' to each side of the equation. -42x + 441 + x2 = -480 + 441 Reorder the terms: 441 + -42x + x2 = -480 + 441 Combine like terms: -480 + 441 = -39 441 + -42x + x2 = -39 Factor a perfect square on the left side: (x + -21)(x + -21) = -39 Can't calculate square root of the right side. The solution to this equation could not be determined.
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