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

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


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

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

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

Multiply (-3 + 2x) * (4 + x)
(-3(4 + x) + 2x * (4 + x))(5 + -3x) = 0
((4 * -3 + x * -3) + 2x * (4 + x))(5 + -3x) = 0
((-12 + -3x) + 2x * (4 + x))(5 + -3x) = 0
(-12 + -3x + (4 * 2x + x * 2x))(5 + -3x) = 0
(-12 + -3x + (8x + 2x2))(5 + -3x) = 0

Combine like terms: -3x + 8x = 5x
(-12 + 5x + 2x2)(5 + -3x) = 0

Multiply (-12 + 5x + 2x2) * (5 + -3x)
(-12(5 + -3x) + 5x * (5 + -3x) + 2x2 * (5 + -3x)) = 0
((5 * -12 + -3x * -12) + 5x * (5 + -3x) + 2x2 * (5 + -3x)) = 0
((-60 + 36x) + 5x * (5 + -3x) + 2x2 * (5 + -3x)) = 0
(-60 + 36x + (5 * 5x + -3x * 5x) + 2x2 * (5 + -3x)) = 0
(-60 + 36x + (25x + -15x2) + 2x2 * (5 + -3x)) = 0
(-60 + 36x + 25x + -15x2 + (5 * 2x2 + -3x * 2x2)) = 0
(-60 + 36x + 25x + -15x2 + (10x2 + -6x3)) = 0

Combine like terms: 36x + 25x = 61x
(-60 + 61x + -15x2 + 10x2 + -6x3) = 0

Combine like terms: -15x2 + 10x2 = -5x2
(-60 + 61x + -5x2 + -6x3) = 0

Solving
-60 + 61x + -5x2 + -6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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