5x(4x-7)(3x-5)=6-3(4x-9)(x-1)

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Solution for 5x(4x-7)(3x-5)=6-3(4x-9)(x-1) equation: 


Simplifying
5x(4x + -7)(3x + -5) = 6 + -3(4x + -9)(x + -1)

Reorder the terms:
5x(-7 + 4x)(3x + -5) = 6 + -3(4x + -9)(x + -1)

Reorder the terms:
5x(-7 + 4x)(-5 + 3x) = 6 + -3(4x + -9)(x + -1)

Multiply (-7 + 4x) * (-5 + 3x)
5x(-7(-5 + 3x) + 4x * (-5 + 3x)) = 6 + -3(4x + -9)(x + -1)
5x((-5 * -7 + 3x * -7) + 4x * (-5 + 3x)) = 6 + -3(4x + -9)(x + -1)
5x((35 + -21x) + 4x * (-5 + 3x)) = 6 + -3(4x + -9)(x + -1)
5x(35 + -21x + (-5 * 4x + 3x * 4x)) = 6 + -3(4x + -9)(x + -1)
5x(35 + -21x + (-20x + 12x2)) = 6 + -3(4x + -9)(x + -1)

Combine like terms: -21x + -20x = -41x
5x(35 + -41x + 12x2) = 6 + -3(4x + -9)(x + -1)
(35 * 5x + -41x * 5x + 12x2 * 5x) = 6 + -3(4x + -9)(x + -1)
(175x + -205x2 + 60x3) = 6 + -3(4x + -9)(x + -1)

Reorder the terms:
175x + -205x2 + 60x3 = 6 + -3(-9 + 4x)(x + -1)

Reorder the terms:
175x + -205x2 + 60x3 = 6 + -3(-9 + 4x)(-1 + x)

Multiply (-9 + 4x) * (-1 + x)
175x + -205x2 + 60x3 = 6 + -3(-9(-1 + x) + 4x * (-1 + x))
175x + -205x2 + 60x3 = 6 + -3((-1 * -9 + x * -9) + 4x * (-1 + x))
175x + -205x2 + 60x3 = 6 + -3((9 + -9x) + 4x * (-1 + x))
175x + -205x2 + 60x3 = 6 + -3(9 + -9x + (-1 * 4x + x * 4x))
175x + -205x2 + 60x3 = 6 + -3(9 + -9x + (-4x + 4x2))

Combine like terms: -9x + -4x = -13x
175x + -205x2 + 60x3 = 6 + -3(9 + -13x + 4x2)
175x + -205x2 + 60x3 = 6 + (9 * -3 + -13x * -3 + 4x2 * -3)
175x + -205x2 + 60x3 = 6 + (-27 + 39x + -12x2)

Combine like terms: 6 + -27 = -21
175x + -205x2 + 60x3 = -21 + 39x + -12x2

Solving
175x + -205x2 + 60x3 = -21 + 39x + -12x2

Solving for variable 'x'.

Reorder the terms:
21 + 175x + -39x + -205x2 + 12x2 + 60x3 = -21 + 39x + -12x2 + 21 + -39x + 12x2

Combine like terms: 175x + -39x = 136x
21 + 136x + -205x2 + 12x2 + 60x3 = -21 + 39x + -12x2 + 21 + -39x + 12x2

Combine like terms: -205x2 + 12x2 = -193x2
21 + 136x + -193x2 + 60x3 = -21 + 39x + -12x2 + 21 + -39x + 12x2

Reorder the terms:
21 + 136x + -193x2 + 60x3 = -21 + 21 + 39x + -39x + -12x2 + 12x2

Combine like terms: -21 + 21 = 0
21 + 136x + -193x2 + 60x3 = 0 + 39x + -39x + -12x2 + 12x2
21 + 136x + -193x2 + 60x3 = 39x + -39x + -12x2 + 12x2

Combine like terms: 39x + -39x = 0
21 + 136x + -193x2 + 60x3 = 0 + -12x2 + 12x2
21 + 136x + -193x2 + 60x3 = -12x2 + 12x2

Combine like terms: -12x2 + 12x2 = 0
21 + 136x + -193x2 + 60x3 = 0

The solution to this equation could not be determined.

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