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Simplifying 160 = -1x2 + 20x Reorder the terms: 160 = 20x + -1x2 Solving 160 = 20x + -1x2 Solving for variable 'x'. Reorder the terms: 160 + -20x + x2 = 20x + -20x + -1x2 + x2 Combine like terms: 20x + -20x = 0 160 + -20x + x2 = 0 + -1x2 + x2 160 + -20x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 160 + -20x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-160' to each side of the equation. 160 + -20x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + -20x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -20x + x2 = 0 + -160 -20x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 -20x + x2 = -160 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -160 + 100 Reorder the terms: 100 + -20x + x2 = -160 + 100 Combine like terms: -160 + 100 = -60 100 + -20x + x2 = -60 Factor a perfect square on the left side: (x + -10)(x + -10) = -60 Can't calculate square root of the right side. The solution to this equation could not be determined.
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