(2x-5)(3x-10)(x-5)=180

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Solution for (2x-5)(3x-10)(x-5)=180 equation: 


Simplifying
(2x + -5)(3x + -10)(x + -5) = 180

Reorder the terms:
(-5 + 2x)(3x + -10)(x + -5) = 180

Reorder the terms:
(-5 + 2x)(-10 + 3x)(x + -5) = 180

Reorder the terms:
(-5 + 2x)(-10 + 3x)(-5 + x) = 180

Multiply (-5 + 2x) * (-10 + 3x)
(-5(-10 + 3x) + 2x * (-10 + 3x))(-5 + x) = 180
((-10 * -5 + 3x * -5) + 2x * (-10 + 3x))(-5 + x) = 180
((50 + -15x) + 2x * (-10 + 3x))(-5 + x) = 180
(50 + -15x + (-10 * 2x + 3x * 2x))(-5 + x) = 180
(50 + -15x + (-20x + 6x2))(-5 + x) = 180

Combine like terms: -15x + -20x = -35x
(50 + -35x + 6x2)(-5 + x) = 180

Multiply (50 + -35x + 6x2) * (-5 + x)
(50(-5 + x) + -35x * (-5 + x) + 6x2 * (-5 + x)) = 180
((-5 * 50 + x * 50) + -35x * (-5 + x) + 6x2 * (-5 + x)) = 180
((-250 + 50x) + -35x * (-5 + x) + 6x2 * (-5 + x)) = 180
(-250 + 50x + (-5 * -35x + x * -35x) + 6x2 * (-5 + x)) = 180
(-250 + 50x + (175x + -35x2) + 6x2 * (-5 + x)) = 180
(-250 + 50x + 175x + -35x2 + (-5 * 6x2 + x * 6x2)) = 180
(-250 + 50x + 175x + -35x2 + (-30x2 + 6x3)) = 180

Combine like terms: 50x + 175x = 225x
(-250 + 225x + -35x2 + -30x2 + 6x3) = 180

Combine like terms: -35x2 + -30x2 = -65x2
(-250 + 225x + -65x2 + 6x3) = 180

Solving
-250 + 225x + -65x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
-250 + -180 + 225x + -65x2 + 6x3 = 180 + -180

Combine like terms: -250 + -180 = -430
-430 + 225x + -65x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-430 + 225x + -65x2 + 6x3 = 0

The solution to this equation could not be determined.

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