(5u^2+6u)(12u^2-5u-2)=0

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Solution for (5u^2+6u)(12u^2-5u-2)=0 equation: 


Simplifying
(5u2 + 6u)(12u2 + -5u + -2) = 0

Reorder the terms:
(6u + 5u2)(12u2 + -5u + -2) = 0

Reorder the terms:
(6u + 5u2)(-2 + -5u + 12u2) = 0

Multiply (6u + 5u2) * (-2 + -5u + 12u2)
(6u * (-2 + -5u + 12u2) + 5u2 * (-2 + -5u + 12u2)) = 0
((-2 * 6u + -5u * 6u + 12u2 * 6u) + 5u2 * (-2 + -5u + 12u2)) = 0
((-12u + -30u2 + 72u3) + 5u2 * (-2 + -5u + 12u2)) = 0
(-12u + -30u2 + 72u3 + (-2 * 5u2 + -5u * 5u2 + 12u2 * 5u2)) = 0
(-12u + -30u2 + 72u3 + (-10u2 + -25u3 + 60u4)) = 0

Reorder the terms:
(-12u + -30u2 + -10u2 + 72u3 + -25u3 + 60u4) = 0

Combine like terms: -30u2 + -10u2 = -40u2
(-12u + -40u2 + 72u3 + -25u3 + 60u4) = 0

Combine like terms: 72u3 + -25u3 = 47u3
(-12u + -40u2 + 47u3 + 60u4) = 0

Solving
-12u + -40u2 + 47u3 + 60u4 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-12 + -40u + 47u2 + 60u3) = 0


Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

Move all terms containing u to the left, all other terms to the right.

Simplifying
u = 0

Subproblem 2
Set the factor '(-12 + -40u + 47u2 + 60u3)' equal to zero and attempt to solve:

Simplifying
-12 + -40u + 47u2 + 60u3 = 0

Solving
-12 + -40u + 47u2 + 60u3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
u = {0}

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