7h^2-42=-35h

Solution for 7h^2-42=-35h equation:

Simplifying
7h2 + -42 = -35h

Reorder the terms:
-42 + 7h2 = -35h

Solving
-42 + 7h2 = -35h

Solving for variable 'h'.

Reorder the terms:
-42 + 35h + 7h2 = -35h + 35h

Combine like terms: -35h + 35h = 0
-42 + 35h + 7h2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-6 + 5h + h2) = 0

Factor a trinomial.
7((-6 + -1h)(1 + -1h)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-6 + -1h)' equal to zero and attempt to solve:

Simplifying
-6 + -1h = 0

Solving
-6 + -1h = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1h = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1h = 0 + 6
-1h = 0 + 6

Combine like terms: 0 + 6 = 6
-1h = 6

Divide each side by '-1'.
h = -6

Simplifying
h = -6
Subproblem 2
Set the factor '(1 + -1h)' equal to zero and attempt to solve:

Simplifying
1 + -1h = 0

Solving
1 + -1h = 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 + -1h = 0 + -1

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

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

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

Simplifying
h = 1
Solution
h = {-6, 1}