(7w+5f)*(7w-5f)=

Solution for (7w+5f)*(7w-5f)= equation:

Simplifying
(7w + 5f)(7w + -5f) = 0

Reorder the terms:
(5f + 7w)(7w + -5f) = 0

Reorder the terms:
(5f + 7w)(-5f + 7w) = 0

Multiply (5f + 7w) * (-5f + 7w)
(5f * (-5f + 7w) + 7w * (-5f + 7w)) = 0
((-5f * 5f + 7w * 5f) + 7w * (-5f + 7w)) = 0

Reorder the terms:
((35fw + -25f2) + 7w * (-5f + 7w)) = 0
((35fw + -25f2) + 7w * (-5f + 7w)) = 0
(35fw + -25f2 + (-5f * 7w + 7w * 7w)) = 0
(35fw + -25f2 + (-35fw + 49w2)) = 0

Reorder the terms:
(35fw + -35fw + -25f2 + 49w2) = 0

Combine like terms: 35fw + -35fw = 0
(0 + -25f2 + 49w2) = 0
(-25f2 + 49w2) = 0

Solving
-25f2 + 49w2 = 0

Solving for variable 'f'.

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

Add '-49w2' to each side of the equation.
-25f2 + 49w2 + -49w2 = 0 + -49w2

Combine like terms: 49w2 + -49w2 = 0
-25f2 + 0 = 0 + -49w2
-25f2 = 0 + -49w2
Remove the zero:
-25f2 = -49w2

Divide each side by '-25'.
f2 = 1.96w2

Simplifying
f2 = 1.96w2

Take the square root of each side:
f = {-1.4w, 1.4w}