(2h+7)(2h+-7)=0

Solution for (2h+7)(2h+-7)=0 equation:

Simplifying
(2h + 7)(2h + -7) = 0

Reorder the terms:
(7 + 2h)(2h + -7) = 0

Reorder the terms:
(7 + 2h)(-7 + 2h) = 0

Multiply (7 + 2h) * (-7 + 2h)
(7(-7 + 2h) + 2h * (-7 + 2h)) = 0
((-7 * 7 + 2h * 7) + 2h * (-7 + 2h)) = 0
((-49 + 14h) + 2h * (-7 + 2h)) = 0
(-49 + 14h + (-7 * 2h + 2h * 2h)) = 0
(-49 + 14h + (-14h + 4h2)) = 0

Combine like terms: 14h + -14h = 0
(-49 + 0 + 4h2) = 0
(-49 + 4h2) = 0

Solving
-49 + 4h2 = 0

Solving for variable 'h'.

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

Add '49' to each side of the equation.
-49 + 49 + 4h2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4h2 = 0 + 49
4h2 = 0 + 49

Combine like terms: 0 + 49 = 49
4h2 = 49

Divide each side by '4'.
h2 = 12.25

Simplifying
h2 = 12.25

Take the square root of each side:
h = {-3.5, 3.5}