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Simplifying
(3g + -5)(3g + 5) = 0
Reorder the terms:
(-5 + 3g)(3g + 5) = 0
Reorder the terms:
(-5 + 3g)(5 + 3g) = 0
Multiply (-5 + 3g) * (5 + 3g)
(-5(5 + 3g) + 3g * (5 + 3g)) = 0
((5 * -5 + 3g * -5) + 3g * (5 + 3g)) = 0
((-25 + -15g) + 3g * (5 + 3g)) = 0
(-25 + -15g + (5 * 3g + 3g * 3g)) = 0
(-25 + -15g + (15g + 9g2)) = 0
Combine like terms: -15g + 15g = 0
(-25 + 0 + 9g2) = 0
(-25 + 9g2) = 0
Solving
-25 + 9g2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 9g2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 9g2 = 0 + 25
9g2 = 0 + 25
Combine like terms: 0 + 25 = 25
9g2 = 25
Divide each side by '9'.
g2 = 2.777777778
Simplifying
g2 = 2.777777778
Take the square root of each side:
g = {-1.666666667, 1.666666667}
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