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Simplifying x2 + -2x + 143.23 = 12.554 Reorder the terms: 143.23 + -2x + x2 = 12.554 Solving 143.23 + -2x + x2 = 12.554 Solving for variable 'x'. Reorder the terms: 143.23 + -12.554 + -2x + x2 = 12.554 + -12.554 Combine like terms: 143.23 + -12.554 = 130.676 130.676 + -2x + x2 = 12.554 + -12.554 Combine like terms: 12.554 + -12.554 = 0.000 130.676 + -2x + x2 = 0.000 Begin completing the square. Move the constant term to the right: Add '-130.676' to each side of the equation. 130.676 + -2x + -130.676 + x2 = 0.000 + -130.676 Reorder the terms: 130.676 + -130.676 + -2x + x2 = 0.000 + -130.676 Combine like terms: 130.676 + -130.676 = 0.000 0.000 + -2x + x2 = 0.000 + -130.676 -2x + x2 = 0.000 + -130.676 Combine like terms: 0.000 + -130.676 = -130.676 -2x + x2 = -130.676 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 = -130.676 + 1 Reorder the terms: 1 + -2x + x2 = -130.676 + 1 Combine like terms: -130.676 + 1 = -129.676 1 + -2x + x2 = -129.676 Factor a perfect square on the left side: (x + -1)(x + -1) = -129.676 Can't calculate square root of the right side. The solution to this equation could not be determined.
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