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Simplifying x2 + 42 = 3x Reorder the terms: 42 + x2 = 3x Solving 42 + x2 = 3x Solving for variable 'x'. Reorder the terms: 42 + -3x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 42 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-42' to each side of the equation. 42 + -3x + -42 + x2 = 0 + -42 Reorder the terms: 42 + -42 + -3x + x2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -3x + x2 = 0 + -42 -3x + x2 = 0 + -42 Combine like terms: 0 + -42 = -42 -3x + x2 = -42 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -42 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -42 + 2.25 Combine like terms: -42 + 2.25 = -39.75 2.25 + -3x + x2 = -39.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -39.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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