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Simplifying x2 + -4.2x + 28 = 0 Reorder the terms: 28 + -4.2x + x2 = 0 Solving 28 + -4.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -4.2x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -4.2x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -4.2x + x2 = 0 + -28 -4.2x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -4.2x + x2 = -28 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 = -28 + 4.41 Reorder the terms: 4.41 + -4.2x + x2 = -28 + 4.41 Combine like terms: -28 + 4.41 = -23.59 4.41 + -4.2x + x2 = -23.59 Factor a perfect square on the left side: (x + -2.1)(x + -2.1) = -23.59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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