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Simplifying (x2) + (1.5x) + 6.25 = 0 x2 + (1.5x) + 6.25 = 0 Reorder the terms: 6.25 + (1.5x) + x2 = 0 Solving 6.25 + (1.5x) + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + (1.5x) + -6.25 + x2 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + (1.5x) + x2 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + (1.5x) + x2 = 0 + -6.25 (1.5x) + x2 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 (1.5x) + x2 = -6.25 The x term is (1.5x). Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. (1.5x) + 0.5625 + x2 = -6.25 + 0.5625 Reorder the terms: 0.5625 + (1.5x) + x2 = -6.25 + 0.5625 Combine like terms: -6.25 + 0.5625 = -5.6875 0.5625 + (1.5x) + x2 = -5.6875 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -5.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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