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Simplifying
(a + 7)(a + -7) = 0
Reorder the terms:
(7 + a)(a + -7) = 0
Reorder the terms:
(7 + a)(-7 + a) = 0
Multiply (7 + a) * (-7 + a)
(7(-7 + a) + a(-7 + a)) = 0
((-7 * 7 + a * 7) + a(-7 + a)) = 0
((-49 + 7a) + a(-7 + a)) = 0
(-49 + 7a + (-7 * a + a * a)) = 0
(-49 + 7a + (-7a + a2)) = 0
Combine like terms: 7a + -7a = 0
(-49 + 0 + a2) = 0
(-49 + a2) = 0
Solving
-49 + a2 = 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 + a2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + a2 = 0 + 49
a2 = 0 + 49
Combine like terms: 0 + 49 = 49
a2 = 49
Simplifying
a2 = 49
Take the square root of each side:
a = {-7, 7}
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