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Simplifying x2 + -2x = -25 Reorder the terms: -2x + x2 = -25 Solving -2x + x2 = -25 Solving for variable 'x'. Reorder the terms: 25 + -2x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -2x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -2x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2x + x2 = 0 + -25 -2x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -2x + x2 = -25 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -25 + 1 Reorder the terms: 1 + -2x + x2 = -25 + 1 Combine like terms: -25 + 1 = -24 1 + -2x + x2 = -24 Factor a perfect square on the left side: (x + -1)(x + -1) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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