6hx+3h^2=0

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Solution for 6hx+3h^2=0 equation: 


Simplifying
6hx + 3h2 = 0

Solving
6hx + 3h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3h'.
3h(2x + h) = 0

Ignore the factor 3.

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

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0

Subproblem 2
Set the factor '(2x + h)' equal to zero and attempt to solve:

Simplifying
2x + h = 0

Reorder the terms:
h + 2x = 0

Solving
h + 2x = 0

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

Add '-2x' to each side of the equation.
h + 2x + -2x = 0 + -2x

Combine like terms: 2x + -2x = 0
h + 0 = 0 + -2x
h = 0 + -2x
Remove the zero:
h = -2x

Simplifying
h = -2x
Solution
h = {0, -2x}

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