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Simplifying 0 = (3 + -4x + -5x2)(6x + -1) Reorder the terms: 0 = (3 + -4x + -5x2)(-1 + 6x) Multiply (3 + -4x + -5x2) * (-1 + 6x) 0 = (3(-1 + 6x) + -4x * (-1 + 6x) + -5x2 * (-1 + 6x)) 0 = ((-1 * 3 + 6x * 3) + -4x * (-1 + 6x) + -5x2 * (-1 + 6x)) 0 = ((-3 + 18x) + -4x * (-1 + 6x) + -5x2 * (-1 + 6x)) 0 = (-3 + 18x + (-1 * -4x + 6x * -4x) + -5x2 * (-1 + 6x)) 0 = (-3 + 18x + (4x + -24x2) + -5x2 * (-1 + 6x)) 0 = (-3 + 18x + 4x + -24x2 + (-1 * -5x2 + 6x * -5x2)) 0 = (-3 + 18x + 4x + -24x2 + (5x2 + -30x3)) Combine like terms: 18x + 4x = 22x 0 = (-3 + 22x + -24x2 + 5x2 + -30x3) Combine like terms: -24x2 + 5x2 = -19x2 0 = (-3 + 22x + -19x2 + -30x3) Solving 0 = -3 + 22x + -19x2 + -30x3 Solving for variable 'x'. Combine like terms: 0 + 3 = 3 3 + -22x + 19x2 + 30x3 = -3 + 22x + -19x2 + -30x3 + 3 + -22x + 19x2 + 30x3 Reorder the terms: 3 + -22x + 19x2 + 30x3 = -3 + 3 + 22x + -22x + -19x2 + 19x2 + -30x3 + 30x3 Combine like terms: -3 + 3 = 0 3 + -22x + 19x2 + 30x3 = 0 + 22x + -22x + -19x2 + 19x2 + -30x3 + 30x3 3 + -22x + 19x2 + 30x3 = 22x + -22x + -19x2 + 19x2 + -30x3 + 30x3 Combine like terms: 22x + -22x = 0 3 + -22x + 19x2 + 30x3 = 0 + -19x2 + 19x2 + -30x3 + 30x3 3 + -22x + 19x2 + 30x3 = -19x2 + 19x2 + -30x3 + 30x3 Combine like terms: -19x2 + 19x2 = 0 3 + -22x + 19x2 + 30x3 = 0 + -30x3 + 30x3 3 + -22x + 19x2 + 30x3 = -30x3 + 30x3 Combine like terms: -30x3 + 30x3 = 0 3 + -22x + 19x2 + 30x3 = 0 The solution to this equation could not be determined.
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