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Simplifying
(6s + 5g)(6s + -5g) = 0
Reorder the terms:
(5g + 6s)(6s + -5g) = 0
Reorder the terms:
(5g + 6s)(-5g + 6s) = 0
Multiply (5g + 6s) * (-5g + 6s)
(5g * (-5g + 6s) + 6s * (-5g + 6s)) = 0
((-5g * 5g + 6s * 5g) + 6s * (-5g + 6s)) = 0
Reorder the terms:
((30gs + -25g2) + 6s * (-5g + 6s)) = 0
((30gs + -25g2) + 6s * (-5g + 6s)) = 0
(30gs + -25g2 + (-5g * 6s + 6s * 6s)) = 0
(30gs + -25g2 + (-30gs + 36s2)) = 0
Reorder the terms:
(30gs + -30gs + -25g2 + 36s2) = 0
Combine like terms: 30gs + -30gs = 0
(0 + -25g2 + 36s2) = 0
(-25g2 + 36s2) = 0
Solving
-25g2 + 36s2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '-36s2' to each side of the equation.
-25g2 + 36s2 + -36s2 = 0 + -36s2
Combine like terms: 36s2 + -36s2 = 0
-25g2 + 0 = 0 + -36s2
-25g2 = 0 + -36s2
Remove the zero:
-25g2 = -36s2
Divide each side by '-25'.
g2 = 1.44s2
Simplifying
g2 = 1.44s2
Take the square root of each side:
g = {-1.2s, 1.2s}
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