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Simplifying x2 + -2x + 36 = 25 Reorder the terms: 36 + -2x + x2 = 25 Solving 36 + -2x + x2 = 25 Solving for variable 'x'. Reorder the terms: 36 + -25 + -2x + x2 = 25 + -25 Combine like terms: 36 + -25 = 11 11 + -2x + x2 = 25 + -25 Combine like terms: 25 + -25 = 0 11 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -2x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -2x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x + x2 = 0 + -11 -2x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2x + x2 = -11 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 = -11 + 1 Reorder the terms: 1 + -2x + x2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + -2x + x2 = -10 Factor a perfect square on the left side: (x + -1)(x + -1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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