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Simplifying
(4g + 7)(4g + -7) = 0
Reorder the terms:
(7 + 4g)(4g + -7) = 0
Reorder the terms:
(7 + 4g)(-7 + 4g) = 0
Multiply (7 + 4g) * (-7 + 4g)
(7(-7 + 4g) + 4g * (-7 + 4g)) = 0
((-7 * 7 + 4g * 7) + 4g * (-7 + 4g)) = 0
((-49 + 28g) + 4g * (-7 + 4g)) = 0
(-49 + 28g + (-7 * 4g + 4g * 4g)) = 0
(-49 + 28g + (-28g + 16g2)) = 0
Combine like terms: 28g + -28g = 0
(-49 + 0 + 16g2) = 0
(-49 + 16g2) = 0
Solving
-49 + 16g2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 16g2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 16g2 = 0 + 49
16g2 = 0 + 49
Combine like terms: 0 + 49 = 49
16g2 = 49
Divide each side by '16'.
g2 = 3.0625
Simplifying
g2 = 3.0625
Take the square root of each side:
g = {-1.75, 1.75}
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