(5x-2)(x+4)(3x-1)=100

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Solution for (5x-2)(x+4)(3x-1)=100 equation: 


Simplifying
(5x + -2)(x + 4)(3x + -1) = 100

Reorder the terms:
(-2 + 5x)(x + 4)(3x + -1) = 100

Reorder the terms:
(-2 + 5x)(4 + x)(3x + -1) = 100

Reorder the terms:
(-2 + 5x)(4 + x)(-1 + 3x) = 100

Multiply (-2 + 5x) * (4 + x)
(-2(4 + x) + 5x * (4 + x))(-1 + 3x) = 100
((4 * -2 + x * -2) + 5x * (4 + x))(-1 + 3x) = 100
((-8 + -2x) + 5x * (4 + x))(-1 + 3x) = 100
(-8 + -2x + (4 * 5x + x * 5x))(-1 + 3x) = 100
(-8 + -2x + (20x + 5x2))(-1 + 3x) = 100

Combine like terms: -2x + 20x = 18x
(-8 + 18x + 5x2)(-1 + 3x) = 100

Multiply (-8 + 18x + 5x2) * (-1 + 3x)
(-8(-1 + 3x) + 18x * (-1 + 3x) + 5x2 * (-1 + 3x)) = 100
((-1 * -8 + 3x * -8) + 18x * (-1 + 3x) + 5x2 * (-1 + 3x)) = 100
((8 + -24x) + 18x * (-1 + 3x) + 5x2 * (-1 + 3x)) = 100
(8 + -24x + (-1 * 18x + 3x * 18x) + 5x2 * (-1 + 3x)) = 100
(8 + -24x + (-18x + 54x2) + 5x2 * (-1 + 3x)) = 100
(8 + -24x + -18x + 54x2 + (-1 * 5x2 + 3x * 5x2)) = 100
(8 + -24x + -18x + 54x2 + (-5x2 + 15x3)) = 100

Combine like terms: -24x + -18x = -42x
(8 + -42x + 54x2 + -5x2 + 15x3) = 100

Combine like terms: 54x2 + -5x2 = 49x2
(8 + -42x + 49x2 + 15x3) = 100

Solving
8 + -42x + 49x2 + 15x3 = 100

Solving for variable 'x'.

Reorder the terms:
8 + -100 + -42x + 49x2 + 15x3 = 100 + -100

Combine like terms: 8 + -100 = -92
-92 + -42x + 49x2 + 15x3 = 100 + -100

Combine like terms: 100 + -100 = 0
-92 + -42x + 49x2 + 15x3 = 0

The solution to this equation could not be determined.

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