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Simplifying (x + 4)(x + -6)(3x + -4) = 0 Reorder the terms: (4 + x)(x + -6)(3x + -4) = 0 Reorder the terms: (4 + x)(-6 + x)(3x + -4) = 0 Reorder the terms: (4 + x)(-6 + x)(-4 + 3x) = 0 Multiply (4 + x) * (-6 + x) (4(-6 + x) + x(-6 + x))(-4 + 3x) = 0 ((-6 * 4 + x * 4) + x(-6 + x))(-4 + 3x) = 0 ((-24 + 4x) + x(-6 + x))(-4 + 3x) = 0 (-24 + 4x + (-6 * x + x * x))(-4 + 3x) = 0 (-24 + 4x + (-6x + x2))(-4 + 3x) = 0 Combine like terms: 4x + -6x = -2x (-24 + -2x + x2)(-4 + 3x) = 0 Multiply (-24 + -2x + x2) * (-4 + 3x) (-24(-4 + 3x) + -2x * (-4 + 3x) + x2(-4 + 3x)) = 0 ((-4 * -24 + 3x * -24) + -2x * (-4 + 3x) + x2(-4 + 3x)) = 0 ((96 + -72x) + -2x * (-4 + 3x) + x2(-4 + 3x)) = 0 (96 + -72x + (-4 * -2x + 3x * -2x) + x2(-4 + 3x)) = 0 (96 + -72x + (8x + -6x2) + x2(-4 + 3x)) = 0 (96 + -72x + 8x + -6x2 + (-4 * x2 + 3x * x2)) = 0 (96 + -72x + 8x + -6x2 + (-4x2 + 3x3)) = 0 Combine like terms: -72x + 8x = -64x (96 + -64x + -6x2 + -4x2 + 3x3) = 0 Combine like terms: -6x2 + -4x2 = -10x2 (96 + -64x + -10x2 + 3x3) = 0 Solving 96 + -64x + -10x2 + 3x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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