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Simplifying x2 + 25 = 2x + 9 Reorder the terms: 25 + x2 = 2x + 9 Reorder the terms: 25 + x2 = 9 + 2x Solving 25 + x2 = 9 + 2x Solving for variable 'x'. Reorder the terms: 25 + -9 + -2x + x2 = 9 + 2x + -9 + -2x Combine like terms: 25 + -9 = 16 16 + -2x + x2 = 9 + 2x + -9 + -2x Reorder the terms: 16 + -2x + x2 = 9 + -9 + 2x + -2x Combine like terms: 9 + -9 = 0 16 + -2x + x2 = 0 + 2x + -2x 16 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 16 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -2x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -2x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -2x + x2 = 0 + -16 -2x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -2x + x2 = -16 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 = -16 + 1 Reorder the terms: 1 + -2x + x2 = -16 + 1 Combine like terms: -16 + 1 = -15 1 + -2x + x2 = -15 Factor a perfect square on the left side: (x + -1)(x + -1) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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