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Simplifying x2 + -10x + 106 = 0 Reorder the terms: 106 + -10x + x2 = 0 Solving 106 + -10x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-106' to each side of the equation. 106 + -10x + -106 + x2 = 0 + -106 Reorder the terms: 106 + -106 + -10x + x2 = 0 + -106 Combine like terms: 106 + -106 = 0 0 + -10x + x2 = 0 + -106 -10x + x2 = 0 + -106 Combine like terms: 0 + -106 = -106 -10x + x2 = -106 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -106 + 25 Reorder the terms: 25 + -10x + x2 = -106 + 25 Combine like terms: -106 + 25 = -81 25 + -10x + x2 = -81 Factor a perfect square on the left side: (x + -5)(x + -5) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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