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Simplifying
(a + 5)(a + -5) = 7
Reorder the terms:
(5 + a)(a + -5) = 7
Reorder the terms:
(5 + a)(-5 + a) = 7
Multiply (5 + a) * (-5 + a)
(5(-5 + a) + a(-5 + a)) = 7
((-5 * 5 + a * 5) + a(-5 + a)) = 7
((-25 + 5a) + a(-5 + a)) = 7
(-25 + 5a + (-5 * a + a * a)) = 7
(-25 + 5a + (-5a + a2)) = 7
Combine like terms: 5a + -5a = 0
(-25 + 0 + a2) = 7
(-25 + a2) = 7
Solving
-25 + a2 = 7
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 + a2 = 7 + 25
Combine like terms: -25 + 25 = 0
0 + a2 = 7 + 25
a2 = 7 + 25
Combine like terms: 7 + 25 = 32
a2 = 32
Simplifying
a2 = 32
Take the square root of each side:
a = {-5.656854249, 5.656854249}
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