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Simplifying (3x + 2)(13x + -7)(2x + 1) = 0 Reorder the terms: (2 + 3x)(13x + -7)(2x + 1) = 0 Reorder the terms: (2 + 3x)(-7 + 13x)(2x + 1) = 0 Reorder the terms: (2 + 3x)(-7 + 13x)(1 + 2x) = 0 Multiply (2 + 3x) * (-7 + 13x) (2(-7 + 13x) + 3x * (-7 + 13x))(1 + 2x) = 0 ((-7 * 2 + 13x * 2) + 3x * (-7 + 13x))(1 + 2x) = 0 ((-14 + 26x) + 3x * (-7 + 13x))(1 + 2x) = 0 (-14 + 26x + (-7 * 3x + 13x * 3x))(1 + 2x) = 0 (-14 + 26x + (-21x + 39x2))(1 + 2x) = 0 Combine like terms: 26x + -21x = 5x (-14 + 5x + 39x2)(1 + 2x) = 0 Multiply (-14 + 5x + 39x2) * (1 + 2x) (-14(1 + 2x) + 5x * (1 + 2x) + 39x2 * (1 + 2x)) = 0 ((1 * -14 + 2x * -14) + 5x * (1 + 2x) + 39x2 * (1 + 2x)) = 0 ((-14 + -28x) + 5x * (1 + 2x) + 39x2 * (1 + 2x)) = 0 (-14 + -28x + (1 * 5x + 2x * 5x) + 39x2 * (1 + 2x)) = 0 (-14 + -28x + (5x + 10x2) + 39x2 * (1 + 2x)) = 0 (-14 + -28x + 5x + 10x2 + (1 * 39x2 + 2x * 39x2)) = 0 (-14 + -28x + 5x + 10x2 + (39x2 + 78x3)) = 0 Combine like terms: -28x + 5x = -23x (-14 + -23x + 10x2 + 39x2 + 78x3) = 0 Combine like terms: 10x2 + 39x2 = 49x2 (-14 + -23x + 49x2 + 78x3) = 0 Solving -14 + -23x + 49x2 + 78x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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