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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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