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Simplifying x2 + 4.2x + 9 = 0 Reorder the terms: 9 + 4.2x + x2 = 0 Solving 9 + 4.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 4.2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 4.2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4.2x + x2 = 0 + -9 4.2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 4.2x + x2 = -9 The x term is 4.2x. Take half its coefficient (2.1). Square it (4.41) and add it to both sides. Add '4.41' to each side of the equation. 4.2x + 4.41 + x2 = -9 + 4.41 Reorder the terms: 4.41 + 4.2x + x2 = -9 + 4.41 Combine like terms: -9 + 4.41 = -4.59 4.41 + 4.2x + x2 = -4.59 Factor a perfect square on the left side: (x + 2.1)(x + 2.1) = -4.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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