(2x+5)(6x-10)(x+5)=180

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Solution for (2x+5)(6x-10)(x+5)=180 equation: 


Simplifying
(2x + 5)(6x + -10)(x + 5) = 180

Reorder the terms:
(5 + 2x)(6x + -10)(x + 5) = 180

Reorder the terms:
(5 + 2x)(-10 + 6x)(x + 5) = 180

Reorder the terms:
(5 + 2x)(-10 + 6x)(5 + x) = 180

Multiply (5 + 2x) * (-10 + 6x)
(5(-10 + 6x) + 2x * (-10 + 6x))(5 + x) = 180
((-10 * 5 + 6x * 5) + 2x * (-10 + 6x))(5 + x) = 180
((-50 + 30x) + 2x * (-10 + 6x))(5 + x) = 180
(-50 + 30x + (-10 * 2x + 6x * 2x))(5 + x) = 180
(-50 + 30x + (-20x + 12x2))(5 + x) = 180

Combine like terms: 30x + -20x = 10x
(-50 + 10x + 12x2)(5 + x) = 180

Multiply (-50 + 10x + 12x2) * (5 + x)
(-50(5 + x) + 10x * (5 + x) + 12x2 * (5 + x)) = 180
((5 * -50 + x * -50) + 10x * (5 + x) + 12x2 * (5 + x)) = 180
((-250 + -50x) + 10x * (5 + x) + 12x2 * (5 + x)) = 180
(-250 + -50x + (5 * 10x + x * 10x) + 12x2 * (5 + x)) = 180
(-250 + -50x + (50x + 10x2) + 12x2 * (5 + x)) = 180
(-250 + -50x + 50x + 10x2 + (5 * 12x2 + x * 12x2)) = 180
(-250 + -50x + 50x + 10x2 + (60x2 + 12x3)) = 180

Combine like terms: -50x + 50x = 0
(-250 + 0 + 10x2 + 60x2 + 12x3) = 180
(-250 + 10x2 + 60x2 + 12x3) = 180

Combine like terms: 10x2 + 60x2 = 70x2
(-250 + 70x2 + 12x3) = 180

Solving
-250 + 70x2 + 12x3 = 180

Solving for variable 'x'.

Reorder the terms:
-250 + -180 + 70x2 + 12x3 = 180 + -180

Combine like terms: -250 + -180 = -430
-430 + 70x2 + 12x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-430 + 70x2 + 12x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-215 + 35x2 + 6x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-215 + 35x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-215 + 35x2 + 6x3 = 0

Solving
-215 + 35x2 + 6x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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