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Simplifying x2 + -13x = -75 Reorder the terms: -13x + x2 = -75 Solving -13x + x2 = -75 Solving for variable 'x'. Reorder the terms: 75 + -13x + x2 = -75 + 75 Combine like terms: -75 + 75 = 0 75 + -13x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + -13x + -75 + x2 = 0 + -75 Reorder the terms: 75 + -75 + -13x + x2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -13x + x2 = 0 + -75 -13x + x2 = 0 + -75 Combine like terms: 0 + -75 = -75 -13x + x2 = -75 The x term is -13x. Take half its coefficient (-6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. -13x + 42.25 + x2 = -75 + 42.25 Reorder the terms: 42.25 + -13x + x2 = -75 + 42.25 Combine like terms: -75 + 42.25 = -32.75 42.25 + -13x + x2 = -32.75 Factor a perfect square on the left side: (x + -6.5)(x + -6.5) = -32.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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