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Simplifying f(0) = 2x4 + -5x3 + 20x2 + -45x + 18 Reorder the terms for easier multiplication: 0f = 2x4 + -5x3 + 20x2 + -45x + 18 Anything times zero is zero. 0f = 2x4 + -5x3 + 20x2 + -45x + 18 Reorder the terms: 0 = 18 + -45x + 20x2 + -5x3 + 2x4 Solving 0 = 18 + -45x + 20x2 + -5x3 + 2x4 Solving for variable 'x'. Combine like terms: 0 + -18 = -18 -18 + 45x + -20x2 + 5x3 + -2x4 = 18 + -45x + 20x2 + -5x3 + 2x4 + -18 + 45x + -20x2 + 5x3 + -2x4 Reorder the terms: -18 + 45x + -20x2 + 5x3 + -2x4 = 18 + -18 + -45x + 45x + 20x2 + -20x2 + -5x3 + 5x3 + 2x4 + -2x4 Combine like terms: 18 + -18 = 0 -18 + 45x + -20x2 + 5x3 + -2x4 = 0 + -45x + 45x + 20x2 + -20x2 + -5x3 + 5x3 + 2x4 + -2x4 -18 + 45x + -20x2 + 5x3 + -2x4 = -45x + 45x + 20x2 + -20x2 + -5x3 + 5x3 + 2x4 + -2x4 Combine like terms: -45x + 45x = 0 -18 + 45x + -20x2 + 5x3 + -2x4 = 0 + 20x2 + -20x2 + -5x3 + 5x3 + 2x4 + -2x4 -18 + 45x + -20x2 + 5x3 + -2x4 = 20x2 + -20x2 + -5x3 + 5x3 + 2x4 + -2x4 Combine like terms: 20x2 + -20x2 = 0 -18 + 45x + -20x2 + 5x3 + -2x4 = 0 + -5x3 + 5x3 + 2x4 + -2x4 -18 + 45x + -20x2 + 5x3 + -2x4 = -5x3 + 5x3 + 2x4 + -2x4 Combine like terms: -5x3 + 5x3 = 0 -18 + 45x + -20x2 + 5x3 + -2x4 = 0 + 2x4 + -2x4 -18 + 45x + -20x2 + 5x3 + -2x4 = 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -18 + 45x + -20x2 + 5x3 + -2x4 = 0 The solution to this equation could not be determined.
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