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

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


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

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

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

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

Reorder the terms:
((28gs + -16g2) + 7s * (-4g + 7s)) = 0
((28gs + -16g2) + 7s * (-4g + 7s)) = 0
(28gs + -16g2 + (-4g * 7s + 7s * 7s)) = 0
(28gs + -16g2 + (-28gs + 49s2)) = 0

Reorder the terms:
(28gs + -28gs + -16g2 + 49s2) = 0

Combine like terms: 28gs + -28gs = 0
(0 + -16g2 + 49s2) = 0
(-16g2 + 49s2) = 0

Solving
-16g2 + 49s2 = 0

Solving for variable 'g'.

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

Add '-49s2' to each side of the equation.
-16g2 + 49s2 + -49s2 = 0 + -49s2

Combine like terms: 49s2 + -49s2 = 0
-16g2 + 0 = 0 + -49s2
-16g2 = 0 + -49s2
Remove the zero:
-16g2 = -49s2

Divide each side by '-16'.
g2 = 3.0625s2

Simplifying
g2 = 3.0625s2

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

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