h^2+4=8h-3

Solution for h^2+4=8h-3 equation:

Simplifying
h2 + 4 = 8h + -3

Reorder the terms:
4 + h2 = 8h + -3

Reorder the terms:
4 + h2 = -3 + 8h

Solving
4 + h2 = -3 + 8h

Solving for variable 'h'.

Reorder the terms:
4 + 3 + -8h + h2 = -3 + 8h + 3 + -8h

Combine like terms: 4 + 3 = 7
7 + -8h + h2 = -3 + 8h + 3 + -8h

Reorder the terms:
7 + -8h + h2 = -3 + 3 + 8h + -8h

Combine like terms: -3 + 3 = 0
7 + -8h + h2 = 0 + 8h + -8h
7 + -8h + h2 = 8h + -8h

Combine like terms: 8h + -8h = 0
7 + -8h + h2 = 0

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

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

Simplifying
7 + -1h = 0

Solving
7 + -1h = 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 + -1h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1h = 0 + -7
-1h = 0 + -7

Combine like terms: 0 + -7 = -7
-1h = -7

Divide each side by '-1'.
h = 7

Simplifying
h = 7
Solution
h = {1, 7}