(4v+7)(4v-7)=

Solution for (4v+7)(4v-7)= equation:

Simplifying
(4v + 7)(4v + -7) = 0

Reorder the terms:
(7 + 4v)(4v + -7) = 0

Reorder the terms:
(7 + 4v)(-7 + 4v) = 0

Multiply (7 + 4v) * (-7 + 4v)
(7(-7 + 4v) + 4v * (-7 + 4v)) = 0
((-7 * 7 + 4v * 7) + 4v * (-7 + 4v)) = 0
((-49 + 28v) + 4v * (-7 + 4v)) = 0
(-49 + 28v + (-7 * 4v + 4v * 4v)) = 0
(-49 + 28v + (-28v + 16v2)) = 0

Combine like terms: 28v + -28v = 0
(-49 + 0 + 16v2) = 0
(-49 + 16v2) = 0

Solving
-49 + 16v2 = 0

Solving for variable 'v'.

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

Add '49' to each side of the equation.
-49 + 49 + 16v2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16v2 = 0 + 49
16v2 = 0 + 49

Combine like terms: 0 + 49 = 49
16v2 = 49

Divide each side by '16'.
v2 = 3.0625

Simplifying
v2 = 3.0625

Take the square root of each side:
v = {-1.75, 1.75}