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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 = 155.784 155.784 + -2x + x2 = -12.554 + 12.554 Combine like terms: -12.554 + 12.554 = 0.000 155.784 + -2x + x2 = 0.000 Begin completing the square. Move the constant term to the right: Add '-155.784' to each side of the equation. 155.784 + -2x + -155.784 + x2 = 0.000 + -155.784 Reorder the terms: 155.784 + -155.784 + -2x + x2 = 0.000 + -155.784 Combine like terms: 155.784 + -155.784 = 0.000 0.000 + -2x + x2 = 0.000 + -155.784 -2x + x2 = 0.000 + -155.784 Combine like terms: 0.000 + -155.784 = -155.784 -2x + x2 = -155.784 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 = -155.784 + 1 Reorder the terms: 1 + -2x + x2 = -155.784 + 1 Combine like terms: -155.784 + 1 = -154.784 1 + -2x + x2 = -154.784 Factor a perfect square on the left side: (x + -1)(x + -1) = -154.784 Can't calculate square root of the right side. The solution to this equation could not be determined.
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