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Simplifying x2 + -2x + 56.25 = 15 Reorder the terms: 56.25 + -2x + x2 = 15 Solving 56.25 + -2x + x2 = 15 Solving for variable 'x'. Reorder the terms: 56.25 + -15 + -2x + x2 = 15 + -15 Combine like terms: 56.25 + -15 = 41.25 41.25 + -2x + x2 = 15 + -15 Combine like terms: 15 + -15 = 0 41.25 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-41.25' to each side of the equation. 41.25 + -2x + -41.25 + x2 = 0 + -41.25 Reorder the terms: 41.25 + -41.25 + -2x + x2 = 0 + -41.25 Combine like terms: 41.25 + -41.25 = 0.00 0.00 + -2x + x2 = 0 + -41.25 -2x + x2 = 0 + -41.25 Combine like terms: 0 + -41.25 = -41.25 -2x + x2 = -41.25 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 = -41.25 + 1 Reorder the terms: 1 + -2x + x2 = -41.25 + 1 Combine like terms: -41.25 + 1 = -40.25 1 + -2x + x2 = -40.25 Factor a perfect square on the left side: (x + -1)(x + -1) = -40.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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