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Simplifying x2 + -20x + 114 = 0 Reorder the terms: 114 + -20x + x2 = 0 Solving 114 + -20x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-114' to each side of the equation. 114 + -20x + -114 + x2 = 0 + -114 Reorder the terms: 114 + -114 + -20x + x2 = 0 + -114 Combine like terms: 114 + -114 = 0 0 + -20x + x2 = 0 + -114 -20x + x2 = 0 + -114 Combine like terms: 0 + -114 = -114 -20x + x2 = -114 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 = -114 + 100 Reorder the terms: 100 + -20x + x2 = -114 + 100 Combine like terms: -114 + 100 = -14 100 + -20x + x2 = -14 Factor a perfect square on the left side: (x + -10)(x + -10) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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