(-12u^4+u^5)+(u^5+5u^4)=

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Solution for (-12u^4+u^5)+(u^5+5u^4)= equation:


Simplifying
(-12u4 + u5) + (u5 + 5u4) = 0

Remove parenthesis around (-12u4 + u5)
-12u4 + u5 + (u5 + 5u4) = 0

Reorder the terms:
-12u4 + u5 + (5u4 + u5) = 0

Remove parenthesis around (5u4 + u5)
-12u4 + u5 + 5u4 + u5 = 0

Reorder the terms:
-12u4 + 5u4 + u5 + u5 = 0

Combine like terms: -12u4 + 5u4 = -7u4
-7u4 + u5 + u5 = 0

Combine like terms: u5 + u5 = 2u5
-7u4 + 2u5 = 0

Solving
-7u4 + 2u5 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u4'.
u4(-7 + 2u) = 0

Subproblem 1

Set the factor 'u4' equal to zero and attempt to solve: Simplifying u4 = 0 Solving u4 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-7 + 2u)' equal to zero and attempt to solve: Simplifying -7 + 2u = 0 Solving -7 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2u = 0 + 7 2u = 0 + 7 Combine like terms: 0 + 7 = 7 2u = 7 Divide each side by '2'. u = 3.5 Simplifying u = 3.5

Solution

u = {3.5}

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