(4r-7)(4r+7)=

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

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

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

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

Multiply (-7 + 4r) * (7 + 4r)
(-7(7 + 4r) + 4r * (7 + 4r)) = 0
((7 * -7 + 4r * -7) + 4r * (7 + 4r)) = 0
((-49 + -28r) + 4r * (7 + 4r)) = 0
(-49 + -28r + (7 * 4r + 4r * 4r)) = 0
(-49 + -28r + (28r + 16r2)) = 0

Combine like terms: -28r + 28r = 0
(-49 + 0 + 16r2) = 0
(-49 + 16r2) = 0

Solving
-49 + 16r2 = 0

Solving for variable 'r'.

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

Add '49' to each side of the equation.
-49 + 49 + 16r2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16r2 = 0 + 49
16r2 = 0 + 49

Combine like terms: 0 + 49 = 49
16r2 = 49

Divide each side by '16'.
r2 = 3.0625

Simplifying
r2 = 3.0625

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