6h(3h-7)=0

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Solution for 6h(3h-7)=0 equation: 


Simplifying
6h(3h + -7) = 0

Reorder the terms:
6h(-7 + 3h) = 0
(-7 * 6h + 3h * 6h) = 0
(-42h + 18h2) = 0

Solving
-42h + 18h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '6h'.
6h(-7 + 3h) = 0

Ignore the factor 6.

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 '(-7 + 3h)' equal to zero and attempt to solve:

Simplifying
-7 + 3h = 0

Solving
-7 + 3h = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3h = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3h = 0 + 7
3h = 0 + 7

Combine like terms: 0 + 7 = 7
3h = 7

Divide each side by '3'.
h = 2.333333333

Simplifying
h = 2.333333333
Solution
h = {0, 2.333333333}

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