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Simplifying X2 + 13 = 3X + 4 Reorder the terms: 13 + X2 = 3X + 4 Reorder the terms: 13 + X2 = 4 + 3X Solving 13 + X2 = 4 + 3X Solving for variable 'X'. Reorder the terms: 13 + -4 + -3X + X2 = 4 + 3X + -4 + -3X Combine like terms: 13 + -4 = 9 9 + -3X + X2 = 4 + 3X + -4 + -3X Reorder the terms: 9 + -3X + X2 = 4 + -4 + 3X + -3X Combine like terms: 4 + -4 = 0 9 + -3X + X2 = 0 + 3X + -3X 9 + -3X + X2 = 3X + -3X Combine like terms: 3X + -3X = 0 9 + -3X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3X + -9 + X2 = 0 + -9 Reorder the terms: 9 + -9 + -3X + X2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3X + X2 = 0 + -9 -3X + X2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3X + X2 = -9 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 = -9 + 2.25 Reorder the terms: 2.25 + -3X + X2 = -9 + 2.25 Combine like terms: -9 + 2.25 = -6.75 2.25 + -3X + X2 = -6.75 Factor a perfect square on the left side: (X + -1.5)(X + -1.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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