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Simplifying 65 = (3x2 + 1)(x + 1) Reorder the terms: 65 = (1 + 3x2)(x + 1) Reorder the terms: 65 = (1 + 3x2)(1 + x) Multiply (1 + 3x2) * (1 + x) 65 = (1(1 + x) + 3x2 * (1 + x)) 65 = ((1 * 1 + x * 1) + 3x2 * (1 + x)) 65 = ((1 + 1x) + 3x2 * (1 + x)) 65 = (1 + 1x + (1 * 3x2 + x * 3x2)) 65 = (1 + 1x + (3x2 + 3x3)) 65 = (1 + 1x + 3x2 + 3x3) Solving 65 = 1 + 1x + 3x2 + 3x3 Solving for variable 'x'. Combine like terms: 65 + -1 = 64 64 + -1x + -3x2 + -3x3 = 1 + 1x + 3x2 + 3x3 + -1 + -1x + -3x2 + -3x3 Reorder the terms: 64 + -1x + -3x2 + -3x3 = 1 + -1 + 1x + -1x + 3x2 + -3x2 + 3x3 + -3x3 Combine like terms: 1 + -1 = 0 64 + -1x + -3x2 + -3x3 = 0 + 1x + -1x + 3x2 + -3x2 + 3x3 + -3x3 64 + -1x + -3x2 + -3x3 = 1x + -1x + 3x2 + -3x2 + 3x3 + -3x3 Combine like terms: 1x + -1x = 0 64 + -1x + -3x2 + -3x3 = 0 + 3x2 + -3x2 + 3x3 + -3x3 64 + -1x + -3x2 + -3x3 = 3x2 + -3x2 + 3x3 + -3x3 Combine like terms: 3x2 + -3x2 = 0 64 + -1x + -3x2 + -3x3 = 0 + 3x3 + -3x3 64 + -1x + -3x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 64 + -1x + -3x2 + -3x3 = 0 The solution to this equation could not be determined.
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