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Simplifying X2 + 4x + 4 = x2 + 6 Reorder the terms: 4 + X2 + 4x = x2 + 6 Reorder the terms: 4 + X2 + 4x = 6 + x2 Solving 4 + X2 + 4x = 6 + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X2 + -4 + 4x = 6 + -4 + x2 Reorder the terms: 4 + -4 + X2 + 4x = 6 + -4 + x2 Combine like terms: 4 + -4 = 0 0 + X2 + 4x = 6 + -4 + x2 X2 + 4x = 6 + -4 + x2 Combine like terms: 6 + -4 = 2 X2 + 4x = 2 + x2 Add '-4x' to each side of the equation. X2 + 4x + -4x = 2 + -4x + x2 Combine like terms: 4x + -4x = 0 X2 + 0 = 2 + -4x + x2 X2 = 2 + -4x + x2 Simplifying X2 = 2 + -4x + x2 Reorder the terms: -2 + X2 + 4x + -1x2 = 2 + -4x + x2 + -2 + 4x + -1x2 Reorder the terms: -2 + X2 + 4x + -1x2 = 2 + -2 + -4x + 4x + x2 + -1x2 Combine like terms: 2 + -2 = 0 -2 + X2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2 -2 + X2 + 4x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 -2 + X2 + 4x + -1x2 = 0 + x2 + -1x2 -2 + X2 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + X2 + 4x + -1x2 = 0 The solution to this equation could not be determined.
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