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Simplifying
(3s + 5g)(3s + -5g) = 0
Reorder the terms:
(5g + 3s)(3s + -5g) = 0
Reorder the terms:
(5g + 3s)(-5g + 3s) = 0
Multiply (5g + 3s) * (-5g + 3s)
(5g * (-5g + 3s) + 3s * (-5g + 3s)) = 0
((-5g * 5g + 3s * 5g) + 3s * (-5g + 3s)) = 0
Reorder the terms:
((15gs + -25g2) + 3s * (-5g + 3s)) = 0
((15gs + -25g2) + 3s * (-5g + 3s)) = 0
(15gs + -25g2 + (-5g * 3s + 3s * 3s)) = 0
(15gs + -25g2 + (-15gs + 9s2)) = 0
Reorder the terms:
(15gs + -15gs + -25g2 + 9s2) = 0
Combine like terms: 15gs + -15gs = 0
(0 + -25g2 + 9s2) = 0
(-25g2 + 9s2) = 0
Solving
-25g2 + 9s2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '-9s2' to each side of the equation.
-25g2 + 9s2 + -9s2 = 0 + -9s2
Combine like terms: 9s2 + -9s2 = 0
-25g2 + 0 = 0 + -9s2
-25g2 = 0 + -9s2
Remove the zero:
-25g2 = -9s2
Divide each side by '-25'.
g2 = 0.36s2
Simplifying
g2 = 0.36s2
Take the square root of each side:
g = {-0.6s, 0.6s}
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