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Simplifying x2 + -7x = -24 Reorder the terms: -7x + x2 = -24 Solving -7x + x2 = -24 Solving for variable 'x'. Reorder the terms: 24 + -7x + x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -7x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -7x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7x + x2 = 0 + -24 -7x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -7x + x2 = -24 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -24 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -24 + 12.25 Combine like terms: -24 + 12.25 = -11.75 12.25 + -7x + x2 = -11.75 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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