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Simplifying (3x + -2)(x + 4)(3x + -5) = 0 Reorder the terms: (-2 + 3x)(x + 4)(3x + -5) = 0 Reorder the terms: (-2 + 3x)(4 + x)(3x + -5) = 0 Reorder the terms: (-2 + 3x)(4 + x)(-5 + 3x) = 0 Multiply (-2 + 3x) * (4 + x) (-2(4 + x) + 3x * (4 + x))(-5 + 3x) = 0 ((4 * -2 + x * -2) + 3x * (4 + x))(-5 + 3x) = 0 ((-8 + -2x) + 3x * (4 + x))(-5 + 3x) = 0 (-8 + -2x + (4 * 3x + x * 3x))(-5 + 3x) = 0 (-8 + -2x + (12x + 3x2))(-5 + 3x) = 0 Combine like terms: -2x + 12x = 10x (-8 + 10x + 3x2)(-5 + 3x) = 0 Multiply (-8 + 10x + 3x2) * (-5 + 3x) (-8(-5 + 3x) + 10x * (-5 + 3x) + 3x2 * (-5 + 3x)) = 0 ((-5 * -8 + 3x * -8) + 10x * (-5 + 3x) + 3x2 * (-5 + 3x)) = 0 ((40 + -24x) + 10x * (-5 + 3x) + 3x2 * (-5 + 3x)) = 0 (40 + -24x + (-5 * 10x + 3x * 10x) + 3x2 * (-5 + 3x)) = 0 (40 + -24x + (-50x + 30x2) + 3x2 * (-5 + 3x)) = 0 (40 + -24x + -50x + 30x2 + (-5 * 3x2 + 3x * 3x2)) = 0 (40 + -24x + -50x + 30x2 + (-15x2 + 9x3)) = 0 Combine like terms: -24x + -50x = -74x (40 + -74x + 30x2 + -15x2 + 9x3) = 0 Combine like terms: 30x2 + -15x2 = 15x2 (40 + -74x + 15x2 + 9x3) = 0 Solving 40 + -74x + 15x2 + 9x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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