(X+5)(2X+15)(2X+10)=180

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Solution for (X+5)(2X+15)(2X+10)=180 equation: 


Simplifying
(X + 5)(2X + 15)(2X + 10) = 180

Reorder the terms:
(5 + X)(2X + 15)(2X + 10) = 180

Reorder the terms:
(5 + X)(15 + 2X)(2X + 10) = 180

Reorder the terms:
(5 + X)(15 + 2X)(10 + 2X) = 180

Multiply (5 + X) * (15 + 2X)
(5(15 + 2X) + X(15 + 2X))(10 + 2X) = 180
((15 * 5 + 2X * 5) + X(15 + 2X))(10 + 2X) = 180
((75 + 10X) + X(15 + 2X))(10 + 2X) = 180
(75 + 10X + (15 * X + 2X * X))(10 + 2X) = 180
(75 + 10X + (15X + 2X2))(10 + 2X) = 180

Combine like terms: 10X + 15X = 25X
(75 + 25X + 2X2)(10 + 2X) = 180

Multiply (75 + 25X + 2X2) * (10 + 2X)
(75(10 + 2X) + 25X * (10 + 2X) + 2X2 * (10 + 2X)) = 180
((10 * 75 + 2X * 75) + 25X * (10 + 2X) + 2X2 * (10 + 2X)) = 180
((750 + 150X) + 25X * (10 + 2X) + 2X2 * (10 + 2X)) = 180
(750 + 150X + (10 * 25X + 2X * 25X) + 2X2 * (10 + 2X)) = 180
(750 + 150X + (250X + 50X2) + 2X2 * (10 + 2X)) = 180
(750 + 150X + 250X + 50X2 + (10 * 2X2 + 2X * 2X2)) = 180
(750 + 150X + 250X + 50X2 + (20X2 + 4X3)) = 180

Combine like terms: 150X + 250X = 400X
(750 + 400X + 50X2 + 20X2 + 4X3) = 180

Combine like terms: 50X2 + 20X2 = 70X2
(750 + 400X + 70X2 + 4X3) = 180

Solving
750 + 400X + 70X2 + 4X3 = 180

Solving for variable 'X'.

Reorder the terms:
750 + -180 + 400X + 70X2 + 4X3 = 180 + -180

Combine like terms: 750 + -180 = 570
570 + 400X + 70X2 + 4X3 = 180 + -180

Combine like terms: 180 + -180 = 0
570 + 400X + 70X2 + 4X3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(285 + 200X + 35X2 + 2X3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(285 + 200X + 35X2 + 2X3)' equal to zero and attempt to solve:

Simplifying
285 + 200X + 35X2 + 2X3 = 0

Solving
285 + 200X + 35X2 + 2X3 = 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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