(7s+3g)(7s-3g)=

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Solution for (7s+3g)(7s-3g)= equation:


Simplifying
(7s + 3g)(7s + -3g) = 0

Reorder the terms:
(3g + 7s)(7s + -3g) = 0

Reorder the terms:
(3g + 7s)(-3g + 7s) = 0

Multiply (3g + 7s) * (-3g + 7s)
(3g * (-3g + 7s) + 7s * (-3g + 7s)) = 0
((-3g * 3g + 7s * 3g) + 7s * (-3g + 7s)) = 0

Reorder the terms:
((21gs + -9g2) + 7s * (-3g + 7s)) = 0
((21gs + -9g2) + 7s * (-3g + 7s)) = 0
(21gs + -9g2 + (-3g * 7s + 7s * 7s)) = 0
(21gs + -9g2 + (-21gs + 49s2)) = 0

Reorder the terms:
(21gs + -21gs + -9g2 + 49s2) = 0

Combine like terms: 21gs + -21gs = 0
(0 + -9g2 + 49s2) = 0
(-9g2 + 49s2) = 0

Solving
-9g2 + 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.
-9g2 + 49s2 + -49s2 = 0 + -49s2

Combine like terms: 49s2 + -49s2 = 0
-9g2 + 0 = 0 + -49s2
-9g2 = 0 + -49s2
Remove the zero:
-9g2 = -49s2

Divide each side by '-9'.
g2 = 5.444444444s2

Simplifying
g2 = 5.444444444s2

Take the square root of each side:
g = {-2.333333333s, 2.333333333s}

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