(x-3)(x-1)(2x-5)=6

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Solution for (x-3)(x-1)(2x-5)=6 equation: 


Simplifying
(x + -3)(x + -1)(2x + -5) = 6

Reorder the terms:
(-3 + x)(x + -1)(2x + -5) = 6

Reorder the terms:
(-3 + x)(-1 + x)(2x + -5) = 6

Reorder the terms:
(-3 + x)(-1 + x)(-5 + 2x) = 6

Multiply (-3 + x) * (-1 + x)
(-3(-1 + x) + x(-1 + x))(-5 + 2x) = 6
((-1 * -3 + x * -3) + x(-1 + x))(-5 + 2x) = 6
((3 + -3x) + x(-1 + x))(-5 + 2x) = 6
(3 + -3x + (-1 * x + x * x))(-5 + 2x) = 6
(3 + -3x + (-1x + x2))(-5 + 2x) = 6

Combine like terms: -3x + -1x = -4x
(3 + -4x + x2)(-5 + 2x) = 6

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

Combine like terms: 6x + 20x = 26x
(-15 + 26x + -8x2 + -5x2 + 2x3) = 6

Combine like terms: -8x2 + -5x2 = -13x2
(-15 + 26x + -13x2 + 2x3) = 6

Solving
-15 + 26x + -13x2 + 2x3 = 6

Solving for variable 'x'.

Reorder the terms:
-15 + -6 + 26x + -13x2 + 2x3 = 6 + -6

Combine like terms: -15 + -6 = -21
-21 + 26x + -13x2 + 2x3 = 6 + -6

Combine like terms: 6 + -6 = 0
-21 + 26x + -13x2 + 2x3 = 0

The solution to this equation could not be determined.

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