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Simplifying x3 + 3x2 + 16x + 12 = x2 + 6x + 9(x + 3) Reorder the terms: 12 + 16x + 3x2 + x3 = x2 + 6x + 9(x + 3) Reorder the terms: 12 + 16x + 3x2 + x3 = x2 + 6x + 9(3 + x) 12 + 16x + 3x2 + x3 = x2 + 6x + (3 * 9 + x * 9) 12 + 16x + 3x2 + x3 = x2 + 6x + (27 + 9x) Reorder the terms: 12 + 16x + 3x2 + x3 = 27 + 6x + 9x + x2 Combine like terms: 6x + 9x = 15x 12 + 16x + 3x2 + x3 = 27 + 15x + x2 Solving 12 + 16x + 3x2 + x3 = 27 + 15x + x2 Solving for variable 'x'. Reorder the terms: 12 + -27 + 16x + -15x + 3x2 + -1x2 + x3 = 27 + 15x + x2 + -27 + -15x + -1x2 Combine like terms: 12 + -27 = -15 -15 + 16x + -15x + 3x2 + -1x2 + x3 = 27 + 15x + x2 + -27 + -15x + -1x2 Combine like terms: 16x + -15x = 1x -15 + 1x + 3x2 + -1x2 + x3 = 27 + 15x + x2 + -27 + -15x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 -15 + 1x + 2x2 + x3 = 27 + 15x + x2 + -27 + -15x + -1x2 Reorder the terms: -15 + 1x + 2x2 + x3 = 27 + -27 + 15x + -15x + x2 + -1x2 Combine like terms: 27 + -27 = 0 -15 + 1x + 2x2 + x3 = 0 + 15x + -15x + x2 + -1x2 -15 + 1x + 2x2 + x3 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 -15 + 1x + 2x2 + x3 = 0 + x2 + -1x2 -15 + 1x + 2x2 + x3 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 1x + 2x2 + x3 = 0 The solution to this equation could not be determined.
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