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Simplifying X * X + X + 15 = 7X + 1 Multiply X * X X2 + X + 15 = 7X + 1 Reorder the terms: 15 + X + X2 = 7X + 1 Reorder the terms: 15 + X + X2 = 1 + 7X Solving 15 + X + X2 = 1 + 7X Solving for variable 'X'. Reorder the terms: 15 + -1 + X + -7X + X2 = 1 + 7X + -1 + -7X Combine like terms: 15 + -1 = 14 14 + X + -7X + X2 = 1 + 7X + -1 + -7X Combine like terms: X + -7X = -6X 14 + -6X + X2 = 1 + 7X + -1 + -7X Reorder the terms: 14 + -6X + X2 = 1 + -1 + 7X + -7X Combine like terms: 1 + -1 = 0 14 + -6X + X2 = 0 + 7X + -7X 14 + -6X + X2 = 7X + -7X Combine like terms: 7X + -7X = 0 14 + -6X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6X + -14 + X2 = 0 + -14 Reorder the terms: 14 + -14 + -6X + X2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6X + X2 = 0 + -14 -6X + X2 = 0 + -14 Combine like terms: 0 + -14 = -14 -6X + X2 = -14 The X term is -6X. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6X + 9 + X2 = -14 + 9 Reorder the terms: 9 + -6X + X2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6X + X2 = -5 Factor a perfect square on the left side: (X + -3)(X + -3) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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