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Simplifying x2 + -12 + 38 = 3x + 2 Reorder the terms: -12 + 38 + x2 = 3x + 2 Combine like terms: -12 + 38 = 26 26 + x2 = 3x + 2 Reorder the terms: 26 + x2 = 2 + 3x Solving 26 + x2 = 2 + 3x Solving for variable 'x'. Reorder the terms: 26 + -2 + -3x + x2 = 2 + 3x + -2 + -3x Combine like terms: 26 + -2 = 24 24 + -3x + x2 = 2 + 3x + -2 + -3x Reorder the terms: 24 + -3x + x2 = 2 + -2 + 3x + -3x Combine like terms: 2 + -2 = 0 24 + -3x + x2 = 0 + 3x + -3x 24 + -3x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 24 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -3x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -3x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3x + x2 = 0 + -24 -3x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -3x + x2 = -24 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 = -24 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -24 + 2.25 Combine like terms: -24 + 2.25 = -21.75 2.25 + -3x + x2 = -21.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -21.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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