(x+5)(2x-1)(3x+4)=0

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Solution for (x+5)(2x-1)(3x+4)=0 equation:


Simplifying
(x + 5)(2x + -1)(3x + 4) = 0

Reorder the terms:
(5 + x)(2x + -1)(3x + 4) = 0

Reorder the terms:
(5 + x)(-1 + 2x)(3x + 4) = 0

Reorder the terms:
(5 + x)(-1 + 2x)(4 + 3x) = 0

Multiply (5 + x) * (-1 + 2x)
(5(-1 + 2x) + x(-1 + 2x))(4 + 3x) = 0
((-1 * 5 + 2x * 5) + x(-1 + 2x))(4 + 3x) = 0
((-5 + 10x) + x(-1 + 2x))(4 + 3x) = 0
(-5 + 10x + (-1 * x + 2x * x))(4 + 3x) = 0
(-5 + 10x + (-1x + 2x2))(4 + 3x) = 0

Combine like terms: 10x + -1x = 9x
(-5 + 9x + 2x2)(4 + 3x) = 0

Multiply (-5 + 9x + 2x2) * (4 + 3x)
(-5(4 + 3x) + 9x * (4 + 3x) + 2x2 * (4 + 3x)) = 0
((4 * -5 + 3x * -5) + 9x * (4 + 3x) + 2x2 * (4 + 3x)) = 0
((-20 + -15x) + 9x * (4 + 3x) + 2x2 * (4 + 3x)) = 0
(-20 + -15x + (4 * 9x + 3x * 9x) + 2x2 * (4 + 3x)) = 0
(-20 + -15x + (36x + 27x2) + 2x2 * (4 + 3x)) = 0
(-20 + -15x + 36x + 27x2 + (4 * 2x2 + 3x * 2x2)) = 0
(-20 + -15x + 36x + 27x2 + (8x2 + 6x3)) = 0

Combine like terms: -15x + 36x = 21x
(-20 + 21x + 27x2 + 8x2 + 6x3) = 0

Combine like terms: 27x2 + 8x2 = 35x2
(-20 + 21x + 35x2 + 6x3) = 0

Solving
-20 + 21x + 35x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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