(X+4)(x-5)(5x-3)=

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


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

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

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

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

Multiply (4 + X) * (-5 + x)
(4(-5 + x) + X(-5 + x))(-3 + 5x) = 0
((-5 * 4 + x * 4) + X(-5 + x))(-3 + 5x) = 0
((-20 + 4x) + X(-5 + x))(-3 + 5x) = 0
(-20 + 4x + (-5 * X + x * X))(-3 + 5x) = 0
(-20 + 4x + (-5X + xX))(-3 + 5x) = 0

Reorder the terms:
(-20 + -5X + 4x + xX)(-3 + 5x) = 0
(-20 + -5X + 4x + xX)(-3 + 5x) = 0

Multiply (-20 + -5X + 4x + xX) * (-3 + 5x)
(-20(-3 + 5x) + -5X * (-3 + 5x) + 4x * (-3 + 5x) + xX(-3 + 5x)) = 0
((-3 * -20 + 5x * -20) + -5X * (-3 + 5x) + 4x * (-3 + 5x) + xX(-3 + 5x)) = 0
((60 + -100x) + -5X * (-3 + 5x) + 4x * (-3 + 5x) + xX(-3 + 5x)) = 0
(60 + -100x + (-3 * -5X + 5x * -5X) + 4x * (-3 + 5x) + xX(-3 + 5x)) = 0
(60 + -100x + (15X + -25xX) + 4x * (-3 + 5x) + xX(-3 + 5x)) = 0
(60 + -100x + 15X + -25xX + (-3 * 4x + 5x * 4x) + xX(-3 + 5x)) = 0
(60 + -100x + 15X + -25xX + (-12x + 20x2) + xX(-3 + 5x)) = 0
(60 + -100x + 15X + -25xX + -12x + 20x2 + (-3 * xX + 5x * xX)) = 0
(60 + -100x + 15X + -25xX + -12x + 20x2 + (-3xX + 5x2X)) = 0

Reorder the terms:
(60 + 15X + -100x + -12x + -25xX + -3xX + 20x2 + 5x2X) = 0

Combine like terms: -100x + -12x = -112x
(60 + 15X + -112x + -25xX + -3xX + 20x2 + 5x2X) = 0

Combine like terms: -25xX + -3xX = -28xX
(60 + 15X + -112x + -28xX + 20x2 + 5x2X) = 0

Solving
60 + 15X + -112x + -28xX + 20x2 + 5x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-60' to each side of the equation.
60 + 15X + -112x + -28xX + 20x2 + -60 + 5x2X = 0 + -60

Reorder the terms:
60 + -60 + 15X + -112x + -28xX + 20x2 + 5x2X = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 15X + -112x + -28xX + 20x2 + 5x2X = 0 + -60
15X + -112x + -28xX + 20x2 + 5x2X = 0 + -60

Combine like terms: 0 + -60 = -60
15X + -112x + -28xX + 20x2 + 5x2X = -60

Add '112x' to each side of the equation.
15X + -112x + -28xX + 20x2 + 112x + 5x2X = -60 + 112x

Reorder the terms:
15X + -112x + 112x + -28xX + 20x2 + 5x2X = -60 + 112x

Combine like terms: -112x + 112x = 0
15X + 0 + -28xX + 20x2 + 5x2X = -60 + 112x
15X + -28xX + 20x2 + 5x2X = -60 + 112x

Add '-20x2' to each side of the equation.
15X + -28xX + 20x2 + -20x2 + 5x2X = -60 + 112x + -20x2

Combine like terms: 20x2 + -20x2 = 0
15X + -28xX + 0 + 5x2X = -60 + 112x + -20x2
15X + -28xX + 5x2X = -60 + 112x + -20x2

Reorder the terms:
60 + 15X + -112x + -28xX + 20x2 + 5x2X = -60 + 112x + -20x2 + 60 + -112x + 20x2

Reorder the terms:
60 + 15X + -112x + -28xX + 20x2 + 5x2X = -60 + 60 + 112x + -112x + -20x2 + 20x2

Combine like terms: -60 + 60 = 0
60 + 15X + -112x + -28xX + 20x2 + 5x2X = 0 + 112x + -112x + -20x2 + 20x2
60 + 15X + -112x + -28xX + 20x2 + 5x2X = 112x + -112x + -20x2 + 20x2

Combine like terms: 112x + -112x = 0
60 + 15X + -112x + -28xX + 20x2 + 5x2X = 0 + -20x2 + 20x2
60 + 15X + -112x + -28xX + 20x2 + 5x2X = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
60 + 15X + -112x + -28xX + 20x2 + 5x2X = 0

The solution to this equation could not be determined.

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