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Simplifying x2 + -7.5x + 20 = 0 Reorder the terms: 20 + -7.5x + x2 = 0 Solving 20 + -7.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -7.5x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -7.5x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -7.5x + x2 = 0 + -20 -7.5x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -7.5x + x2 = -20 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -20 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -20 + 14.0625 Combine like terms: -20 + 14.0625 = -5.9375 14.0625 + -7.5x + x2 = -5.9375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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