16hj^6-20hj^5=12hj^4+20hj^3

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Solution for 16hj^6-20hj^5=12hj^4+20hj^3 equation:


Simplifying
16hj6 + -20hj5 = 12hj4 + 20hj3

Reorder the terms:
-20hj5 + 16hj6 = 12hj4 + 20hj3

Reorder the terms:
-20hj5 + 16hj6 = 20hj3 + 12hj4

Solving
-20hj5 + 16hj6 = 20hj3 + 12hj4

Solving for variable 'h'.

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

Add '-20hj3' to each side of the equation.
-20hj5 + -20hj3 + 16hj6 = 20hj3 + -20hj3 + 12hj4

Reorder the terms:
-20hj3 + -20hj5 + 16hj6 = 20hj3 + -20hj3 + 12hj4

Combine like terms: 20hj3 + -20hj3 = 0
-20hj3 + -20hj5 + 16hj6 = 0 + 12hj4
-20hj3 + -20hj5 + 16hj6 = 12hj4

Add '-12hj4' to each side of the equation.
-20hj3 + -20hj5 + -12hj4 + 16hj6 = 12hj4 + -12hj4

Reorder the terms:
-20hj3 + -12hj4 + -20hj5 + 16hj6 = 12hj4 + -12hj4

Combine like terms: 12hj4 + -12hj4 = 0
-20hj3 + -12hj4 + -20hj5 + 16hj6 = 0

Factor out the Greatest Common Factor (GCF), '4hj3'.
4hj3(-5 + -3j + -5j2 + 4j3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'hj3' equal to zero and attempt to solve: Simplifying hj3 = 0 Solving hj3 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying hj3 = 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 + -3j + -5j2 + 4j3)' equal to zero and attempt to solve: Simplifying -5 + -3j + -5j2 + 4j3 = 0 Solving -5 + -3j + -5j2 + 4j3 = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -3j + -5j2 + 5 + 4j3 = 0 + 5 Reorder the terms: -5 + 5 + -3j + -5j2 + 4j3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3j + -5j2 + 4j3 = 0 + 5 -3j + -5j2 + 4j3 = 0 + 5 Combine like terms: 0 + 5 = 5 -3j + -5j2 + 4j3 = 5 Add '3j' to each side of the equation. -3j + -5j2 + 3j + 4j3 = 5 + 3j Reorder the terms: -3j + 3j + -5j2 + 4j3 = 5 + 3j Combine like terms: -3j + 3j = 0 0 + -5j2 + 4j3 = 5 + 3j -5j2 + 4j3 = 5 + 3j Add '5j2' to each side of the equation. -5j2 + 5j2 + 4j3 = 5 + 3j + 5j2 Combine like terms: -5j2 + 5j2 = 0 0 + 4j3 = 5 + 3j + 5j2 4j3 = 5 + 3j + 5j2 Add '-4j3' to each side of the equation. 4j3 + -4j3 = 5 + 3j + 5j2 + -4j3 Combine like terms: 4j3 + -4j3 = 0 0 = 5 + 3j + 5j2 + -4j3 Simplifying 0 = 5 + 3j + 5j2 + -4j3 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.

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