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

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


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

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

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

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

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

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

Multiply (-50 + 5x + 6x2) * (-5 + x)
(-50(-5 + x) + 5x * (-5 + x) + 6x2 * (-5 + x)) = 180
((-5 * -50 + x * -50) + 5x * (-5 + x) + 6x2 * (-5 + x)) = 180
((250 + -50x) + 5x * (-5 + x) + 6x2 * (-5 + x)) = 180
(250 + -50x + (-5 * 5x + x * 5x) + 6x2 * (-5 + x)) = 180
(250 + -50x + (-25x + 5x2) + 6x2 * (-5 + x)) = 180
(250 + -50x + -25x + 5x2 + (-5 * 6x2 + x * 6x2)) = 180
(250 + -50x + -25x + 5x2 + (-30x2 + 6x3)) = 180

Combine like terms: -50x + -25x = -75x
(250 + -75x + 5x2 + -30x2 + 6x3) = 180

Combine like terms: 5x2 + -30x2 = -25x2
(250 + -75x + -25x2 + 6x3) = 180

Solving
250 + -75x + -25x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
250 + -180 + -75x + -25x2 + 6x3 = 180 + -180

Combine like terms: 250 + -180 = 70
70 + -75x + -25x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
70 + -75x + -25x2 + 6x3 = 0

The solution to this equation could not be determined.

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