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Simplifying (6 + x)(2x + -3)(3x + -7) = 0 Reorder the terms: (6 + x)(-3 + 2x)(3x + -7) = 0 Reorder the terms: (6 + x)(-3 + 2x)(-7 + 3x) = 0 Multiply (6 + x) * (-3 + 2x) (6(-3 + 2x) + x(-3 + 2x))(-7 + 3x) = 0 ((-3 * 6 + 2x * 6) + x(-3 + 2x))(-7 + 3x) = 0 ((-18 + 12x) + x(-3 + 2x))(-7 + 3x) = 0 (-18 + 12x + (-3 * x + 2x * x))(-7 + 3x) = 0 (-18 + 12x + (-3x + 2x2))(-7 + 3x) = 0 Combine like terms: 12x + -3x = 9x (-18 + 9x + 2x2)(-7 + 3x) = 0 Multiply (-18 + 9x + 2x2) * (-7 + 3x) (-18(-7 + 3x) + 9x * (-7 + 3x) + 2x2 * (-7 + 3x)) = 0 ((-7 * -18 + 3x * -18) + 9x * (-7 + 3x) + 2x2 * (-7 + 3x)) = 0 ((126 + -54x) + 9x * (-7 + 3x) + 2x2 * (-7 + 3x)) = 0 (126 + -54x + (-7 * 9x + 3x * 9x) + 2x2 * (-7 + 3x)) = 0 (126 + -54x + (-63x + 27x2) + 2x2 * (-7 + 3x)) = 0 (126 + -54x + -63x + 27x2 + (-7 * 2x2 + 3x * 2x2)) = 0 (126 + -54x + -63x + 27x2 + (-14x2 + 6x3)) = 0 Combine like terms: -54x + -63x = -117x (126 + -117x + 27x2 + -14x2 + 6x3) = 0 Combine like terms: 27x2 + -14x2 = 13x2 (126 + -117x + 13x2 + 6x3) = 0 Solving 126 + -117x + 13x2 + 6x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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