(2z+7)(2z-7)=

Solution for (2z+7)(2z-7)= equation:

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

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

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

Multiply (7 + 2z) * (-7 + 2z)
(7(-7 + 2z) + 2z * (-7 + 2z)) = 0
((-7 * 7 + 2z * 7) + 2z * (-7 + 2z)) = 0
((-49 + 14z) + 2z * (-7 + 2z)) = 0
(-49 + 14z + (-7 * 2z + 2z * 2z)) = 0
(-49 + 14z + (-14z + 4z2)) = 0

Combine like terms: 14z + -14z = 0
(-49 + 0 + 4z2) = 0
(-49 + 4z2) = 0

Solving
-49 + 4z2 = 0

Solving for variable 'z'.

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

Add '49' to each side of the equation.
-49 + 49 + 4z2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4z2 = 0 + 49
4z2 = 0 + 49

Combine like terms: 0 + 49 = 49
4z2 = 49

Divide each side by '4'.
z2 = 12.25

Simplifying
z2 = 12.25

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