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Simplifying x2 + -8.2x = -116 Reorder the terms: -8.2x + x2 = -116 Solving -8.2x + x2 = -116 Solving for variable 'x'. Reorder the terms: 116 + -8.2x + x2 = -116 + 116 Combine like terms: -116 + 116 = 0 116 + -8.2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-116' to each side of the equation. 116 + -8.2x + -116 + x2 = 0 + -116 Reorder the terms: 116 + -116 + -8.2x + x2 = 0 + -116 Combine like terms: 116 + -116 = 0 0 + -8.2x + x2 = 0 + -116 -8.2x + x2 = 0 + -116 Combine like terms: 0 + -116 = -116 -8.2x + x2 = -116 The x term is -8.2x. Take half its coefficient (-4.1). Square it (16.81) and add it to both sides. Add '16.81' to each side of the equation. -8.2x + 16.81 + x2 = -116 + 16.81 Reorder the terms: 16.81 + -8.2x + x2 = -116 + 16.81 Combine like terms: -116 + 16.81 = -99.19 16.81 + -8.2x + x2 = -99.19 Factor a perfect square on the left side: (x + -4.1)(x + -4.1) = -99.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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