(14h^4+3h^3)-(9h^4+2h^3)=

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Solution for (14h^4+3h^3)-(9h^4+2h^3)= equation: 


Simplifying
(14h4 + 3h3) + -1(9h4 + 2h3) = 0

Reorder the terms:
(3h3 + 14h4) + -1(9h4 + 2h3) = 0

Remove parenthesis around (3h3 + 14h4)
3h3 + 14h4 + -1(9h4 + 2h3) = 0

Reorder the terms:
3h3 + 14h4 + -1(2h3 + 9h4) = 0
3h3 + 14h4 + (2h3 * -1 + 9h4 * -1) = 0
3h3 + 14h4 + (-2h3 + -9h4) = 0

Reorder the terms:
3h3 + -2h3 + 14h4 + -9h4 = 0

Combine like terms: 3h3 + -2h3 = 1h3
1h3 + 14h4 + -9h4 = 0

Combine like terms: 14h4 + -9h4 = 5h4
1h3 + 5h4 = 0

Solving
1h3 + 5h4 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h3'.
h3(1 + 5h) = 0


Subproblem 1
Set the factor 'h3' equal to zero and attempt to solve:

Simplifying
h3 = 0

Solving
h3 = 0

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

Simplifying
h3 = 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 '(1 + 5h)' equal to zero and attempt to solve:

Simplifying
1 + 5h = 0

Solving
1 + 5h = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5h = 0 + -1
5h = 0 + -1

Combine like terms: 0 + -1 = -1
5h = -1

Divide each side by '5'.
h = -0.2

Simplifying
h = -0.2
Solution
h = {-0.2}

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