7h(2h-5i)=

Solution for 7h(2h-5i)= equation:

Simplifying
7h(2h + -5i) = 0
(2h * 7h + -5i * 7h) = 0

Reorder the terms:
(-35hi + 14h2) = 0
(-35hi + 14h2) = 0

Solving
-35hi + 14h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '7h'.
7h(-5i + 2h) = 0

Ignore the factor 7.
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 '(-5i + 2h)' equal to zero and attempt to solve:

Simplifying
-5i + 2h = 0

Reorder the terms:
2h + -5i = 0

Solving
2h + -5i = 0

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

Add '5i' to each side of the equation.
2h + -5i + 5i = 0 + 5i

Combine like terms: -5i + 5i = 0
2h + 0 = 0 + 5i
2h = 0 + 5i
Remove the zero:
2h = 5i

Divide each side by '2'.
h = 2.5i

Simplifying
h = 2.5i
Solution
h = {0, 2.5i}