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Simplifying
(7g + -4)(7g + 4) = 0
Reorder the terms:
(-4 + 7g)(7g + 4) = 0
Reorder the terms:
(-4 + 7g)(4 + 7g) = 0
Multiply (-4 + 7g) * (4 + 7g)
(-4(4 + 7g) + 7g * (4 + 7g)) = 0
((4 * -4 + 7g * -4) + 7g * (4 + 7g)) = 0
((-16 + -28g) + 7g * (4 + 7g)) = 0
(-16 + -28g + (4 * 7g + 7g * 7g)) = 0
(-16 + -28g + (28g + 49g2)) = 0
Combine like terms: -28g + 28g = 0
(-16 + 0 + 49g2) = 0
(-16 + 49g2) = 0
Solving
-16 + 49g2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 49g2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 49g2 = 0 + 16
49g2 = 0 + 16
Combine like terms: 0 + 16 = 16
49g2 = 16
Divide each side by '49'.
g2 = 0.3265306122
Simplifying
g2 = 0.3265306122
Take the square root of each side:
g = {-0.571428571, 0.571428571}
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