4u^6+6u^5-10u^4=

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Solution for 4u^6+6u^5-10u^4= equation:


Simplifying
4u6 + 6u5 + -10u4 = 0

Reorder the terms:
-10u4 + 6u5 + 4u6 = 0

Solving
-10u4 + 6u5 + 4u6 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2u4'.
2u4(-5 + 3u + 2u2) = 0

Factor a trinomial.
2u4((-5 + -2u)(1 + -1u)) = 0

Ignore the factor 2.

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 '(-5 + -2u)' equal to zero and attempt to solve: Simplifying -5 + -2u = 0 Solving -5 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2u = 0 + 5 -2u = 0 + 5 Combine like terms: 0 + 5 = 5 -2u = 5 Divide each side by '-2'. u = -2.5 Simplifying u = -2.5

Subproblem 3

Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1

Solution

u = {-2.5, 1}

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