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Simplifying
(3a + 7)(3a + -7) = 0
Reorder the terms:
(7 + 3a)(3a + -7) = 0
Reorder the terms:
(7 + 3a)(-7 + 3a) = 0
Multiply (7 + 3a) * (-7 + 3a)
(7(-7 + 3a) + 3a * (-7 + 3a)) = 0
((-7 * 7 + 3a * 7) + 3a * (-7 + 3a)) = 0
((-49 + 21a) + 3a * (-7 + 3a)) = 0
(-49 + 21a + (-7 * 3a + 3a * 3a)) = 0
(-49 + 21a + (-21a + 9a2)) = 0
Combine like terms: 21a + -21a = 0
(-49 + 0 + 9a2) = 0
(-49 + 9a2) = 0
Solving
-49 + 9a2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 9a2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 9a2 = 0 + 49
9a2 = 0 + 49
Combine like terms: 0 + 49 = 49
9a2 = 49
Divide each side by '9'.
a2 = 5.444444444
Simplifying
a2 = 5.444444444
Take the square root of each side:
a = {-2.333333333, 2.333333333}
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