(5+2t)(7+2t)(3+2t)=525

Solution for (5+2t)(7+2t)(3+2t)=525 equation:

Simplifying
(5 + 2t)(7 + 2t)(3 + 2t) = 525

Multiply (5 + 2t) * (7 + 2t)
(5(7 + 2t) + 2t * (7 + 2t))(3 + 2t) = 525
((7 * 5 + 2t * 5) + 2t * (7 + 2t))(3 + 2t) = 525
((35 + 10t) + 2t * (7 + 2t))(3 + 2t) = 525
(35 + 10t + (7 * 2t + 2t * 2t))(3 + 2t) = 525
(35 + 10t + (14t + 4t2))(3 + 2t) = 525

Combine like terms: 10t + 14t = 24t
(35 + 24t + 4t2)(3 + 2t) = 525

Multiply (35 + 24t + 4t2) * (3 + 2t)
(35(3 + 2t) + 24t * (3 + 2t) + 4t2 * (3 + 2t)) = 525
((3 * 35 + 2t * 35) + 24t * (3 + 2t) + 4t2 * (3 + 2t)) = 525
((105 + 70t) + 24t * (3 + 2t) + 4t2 * (3 + 2t)) = 525
(105 + 70t + (3 * 24t + 2t * 24t) + 4t2 * (3 + 2t)) = 525
(105 + 70t + (72t + 48t2) + 4t2 * (3 + 2t)) = 525
(105 + 70t + 72t + 48t2 + (3 * 4t2 + 2t * 4t2)) = 525
(105 + 70t + 72t + 48t2 + (12t2 + 8t3)) = 525

Combine like terms: 70t + 72t = 142t
(105 + 142t + 48t2 + 12t2 + 8t3) = 525

Combine like terms: 48t2 + 12t2 = 60t2
(105 + 142t + 60t2 + 8t3) = 525

Solving
105 + 142t + 60t2 + 8t3 = 525

Solving for variable 't'.

Reorder the terms:
105 + -525 + 142t + 60t2 + 8t3 = 525 + -525

Combine like terms: 105 + -525 = -420
-420 + 142t + 60t2 + 8t3 = 525 + -525

Combine like terms: 525 + -525 = 0
-420 + 142t + 60t2 + 8t3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-210 + 71t + 30t2 + 4t3) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-210 + 71t + 30t2 + 4t3)' equal to zero and attempt to solve:

Simplifying
-210 + 71t + 30t2 + 4t3 = 0

Solving
-210 + 71t + 30t2 + 4t3 = 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.