(7w+4g)(7w-4g)=

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Solution for (7w+4g)(7w-4g)= equation: 


Simplifying
(7w + 4g)(7w + -4g) = 0

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

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

Multiply (4g + 7w) * (-4g + 7w)
(4g * (-4g + 7w) + 7w * (-4g + 7w)) = 0
((-4g * 4g + 7w * 4g) + 7w * (-4g + 7w)) = 0

Reorder the terms:
((28gw + -16g2) + 7w * (-4g + 7w)) = 0
((28gw + -16g2) + 7w * (-4g + 7w)) = 0
(28gw + -16g2 + (-4g * 7w + 7w * 7w)) = 0
(28gw + -16g2 + (-28gw + 49w2)) = 0

Reorder the terms:
(28gw + -28gw + -16g2 + 49w2) = 0

Combine like terms: 28gw + -28gw = 0
(0 + -16g2 + 49w2) = 0
(-16g2 + 49w2) = 0

Solving
-16g2 + 49w2 = 0

Solving for variable 'g'.

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

Add '-49w2' to each side of the equation.
-16g2 + 49w2 + -49w2 = 0 + -49w2

Combine like terms: 49w2 + -49w2 = 0
-16g2 + 0 = 0 + -49w2
-16g2 = 0 + -49w2
Remove the zero:
-16g2 = -49w2

Divide each side by '-16'.
g2 = 3.0625w2

Simplifying
g2 = 3.0625w2

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

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