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Simplifying
(3a + 5)(3a + -5) = 0
Reorder the terms:
(5 + 3a)(3a + -5) = 0
Reorder the terms:
(5 + 3a)(-5 + 3a) = 0
Multiply (5 + 3a) * (-5 + 3a)
(5(-5 + 3a) + 3a * (-5 + 3a)) = 0
((-5 * 5 + 3a * 5) + 3a * (-5 + 3a)) = 0
((-25 + 15a) + 3a * (-5 + 3a)) = 0
(-25 + 15a + (-5 * 3a + 3a * 3a)) = 0
(-25 + 15a + (-15a + 9a2)) = 0
Combine like terms: 15a + -15a = 0
(-25 + 0 + 9a2) = 0
(-25 + 9a2) = 0
Solving
-25 + 9a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 9a2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 9a2 = 0 + 25
9a2 = 0 + 25
Combine like terms: 0 + 25 = 25
9a2 = 25
Divide each side by '9'.
a2 = 2.777777778
Simplifying
a2 = 2.777777778
Take the square root of each side:
a = {-1.666666667, 1.666666667}
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