2J(-5J^3+4J^2-20)-6J^2(-4J^2+3J+7)=

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Solution for 2J(-5J^3+4J^2-20)-6J^2(-4J^2+3J+7)= equation: 


Simplifying
2J(-5J3 + 4J2 + -20) + -6J2(-4J2 + 3J + 7) = 0

Reorder the terms:
2J(-20 + 4J2 + -5J3) + -6J2(-4J2 + 3J + 7) = 0
(-20 * 2J + 4J2 * 2J + -5J3 * 2J) + -6J2(-4J2 + 3J + 7) = 0
(-40J + 8J3 + -10J4) + -6J2(-4J2 + 3J + 7) = 0

Reorder the terms:
-40J + 8J3 + -10J4 + -6J2(7 + 3J + -4J2) = 0
-40J + 8J3 + -10J4 + (7 * -6J2 + 3J * -6J2 + -4J2 * -6J2) = 0
-40J + 8J3 + -10J4 + (-42J2 + -18J3 + 24J4) = 0

Reorder the terms:
-40J + -42J2 + 8J3 + -18J3 + -10J4 + 24J4 = 0

Combine like terms: 8J3 + -18J3 = -10J3
-40J + -42J2 + -10J3 + -10J4 + 24J4 = 0

Combine like terms: -10J4 + 24J4 = 14J4
-40J + -42J2 + -10J3 + 14J4 = 0

Solving
-40J + -42J2 + -10J3 + 14J4 = 0

Solving for variable 'J'.

Factor out the Greatest Common Factor (GCF), '2J'.
2J(-20 + -21J + -5J2 + 7J3) = 0

Ignore the factor 2.

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

Simplifying
J = 0

Solving
J = 0

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

Simplifying
J = 0

Subproblem 2
Set the factor '(-20 + -21J + -5J2 + 7J3)' equal to zero and attempt to solve:

Simplifying
-20 + -21J + -5J2 + 7J3 = 0

Solving
-20 + -21J + -5J2 + 7J3 = 0

The solution to this equation could not be determined.

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

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