(2h-14)(2h+3)=0

Solution for (2h-14)(2h+3)=0 equation:

Simplifying
(2h + -14)(2h + 3) = 0

Reorder the terms:
(-14 + 2h)(2h + 3) = 0

Reorder the terms:
(-14 + 2h)(3 + 2h) = 0

Multiply (-14 + 2h) * (3 + 2h)
(-14(3 + 2h) + 2h * (3 + 2h)) = 0
((3 * -14 + 2h * -14) + 2h * (3 + 2h)) = 0
((-42 + -28h) + 2h * (3 + 2h)) = 0
(-42 + -28h + (3 * 2h + 2h * 2h)) = 0
(-42 + -28h + (6h + 4h2)) = 0

Combine like terms: -28h + 6h = -22h
(-42 + -22h + 4h2) = 0

Solving
-42 + -22h + 4h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -11h + 2h2) = 0

Factor a trinomial.
2((-3 + -2h)(7 + -1h)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -2h)' equal to zero and attempt to solve:

Simplifying
-3 + -2h = 0

Solving
-3 + -2h = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2h = 0 + 3

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

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

Divide each side by '-2'.
h = -1.5

Simplifying
h = -1.5
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 = {-1.5, 7}