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Simplifying x2 + -1.8x + 5.4 = 0 Reorder the terms: 5.4 + -1.8x + x2 = 0 Solving 5.4 + -1.8x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5.4' to each side of the equation. 5.4 + -1.8x + -5.4 + x2 = 0 + -5.4 Reorder the terms: 5.4 + -5.4 + -1.8x + x2 = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -1.8x + x2 = 0 + -5.4 -1.8x + x2 = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 -1.8x + x2 = -5.4 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -5.4 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -5.4 + 0.81 Combine like terms: -5.4 + 0.81 = -4.59 0.81 + -1.8x + x2 = -4.59 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -4.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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