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Simplifying (x2 + -5x + 6)(1 + 4x) = 0 Reorder the terms: (6 + -5x + x2)(1 + 4x) = 0 Multiply (6 + -5x + x2) * (1 + 4x) (6(1 + 4x) + -5x * (1 + 4x) + x2(1 + 4x)) = 0 ((1 * 6 + 4x * 6) + -5x * (1 + 4x) + x2(1 + 4x)) = 0 ((6 + 24x) + -5x * (1 + 4x) + x2(1 + 4x)) = 0 (6 + 24x + (1 * -5x + 4x * -5x) + x2(1 + 4x)) = 0 (6 + 24x + (-5x + -20x2) + x2(1 + 4x)) = 0 (6 + 24x + -5x + -20x2 + (1 * x2 + 4x * x2)) = 0 (6 + 24x + -5x + -20x2 + (1x2 + 4x3)) = 0 Combine like terms: 24x + -5x = 19x (6 + 19x + -20x2 + 1x2 + 4x3) = 0 Combine like terms: -20x2 + 1x2 = -19x2 (6 + 19x + -19x2 + 4x3) = 0 Solving 6 + 19x + -19x2 + 4x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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