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Simplifying
(2a + 7)(2a + -7) = 0
Reorder the terms:
(7 + 2a)(2a + -7) = 0
Reorder the terms:
(7 + 2a)(-7 + 2a) = 0
Multiply (7 + 2a) * (-7 + 2a)
(7(-7 + 2a) + 2a * (-7 + 2a)) = 0
((-7 * 7 + 2a * 7) + 2a * (-7 + 2a)) = 0
((-49 + 14a) + 2a * (-7 + 2a)) = 0
(-49 + 14a + (-7 * 2a + 2a * 2a)) = 0
(-49 + 14a + (-14a + 4a2)) = 0
Combine like terms: 14a + -14a = 0
(-49 + 0 + 4a2) = 0
(-49 + 4a2) = 0
Solving
-49 + 4a2 = 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 + 4a2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 4a2 = 0 + 49
4a2 = 0 + 49
Combine like terms: 0 + 49 = 49
4a2 = 49
Divide each side by '4'.
a2 = 12.25
Simplifying
a2 = 12.25
Take the square root of each side:
a = {-3.5, 3.5}
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