h(2h-3)=35

Solution for h(2h-3)=35 equation:

Simplifying
h(2h + -3) = 35

Reorder the terms:
h(-3 + 2h) = 35
(-3 * h + 2h * h) = 35
(-3h + 2h2) = 35

Solving
-3h + 2h2 = 35

Solving for variable 'h'.

Reorder the terms:
-35 + -3h + 2h2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -3h + 2h2 = 0

Factor a trinomial.
(-7 + -2h)(5 + -1h) = 0

Subproblem 1
Set the factor '(-7 + -2h)' equal to zero and attempt to solve:

Simplifying
-7 + -2h = 0

Solving
-7 + -2h = 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 + -2h = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2h = 0 + 7
-2h = 0 + 7

Combine like terms: 0 + 7 = 7
-2h = 7

Divide each side by '-2'.
h = -3.5

Simplifying
h = -3.5
Subproblem 2
Set the factor '(5 + -1h)' equal to zero and attempt to solve:

Simplifying
5 + -1h = 0

Solving
5 + -1h = 0

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

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

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

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

Divide each side by '-1'.
h = 5

Simplifying
h = 5
Solution
h = {-3.5, 5}