(a+2)(a+7)=0

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Solution for (a+2)(a+7)=0 equation: 


Simplifying
(a + 2)(a + 7) = 0

Reorder the terms:
(2 + a)(a + 7) = 0

Reorder the terms:
(2 + a)(7 + a) = 0

Multiply (2 + a) * (7 + a)
(2(7 + a) + a(7 + a)) = 0
((7 * 2 + a * 2) + a(7 + a)) = 0
((14 + 2a) + a(7 + a)) = 0
(14 + 2a + (7 * a + a * a)) = 0
(14 + 2a + (7a + a2)) = 0

Combine like terms: 2a + 7a = 9a
(14 + 9a + a2) = 0

Solving
14 + 9a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + a)(2 + a) = 0


Subproblem 1
Set the factor '(7 + a)' equal to zero and attempt to solve:

Simplifying
7 + a = 0

Solving
7 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a = 0 + -7
a = 0 + -7

Combine like terms: 0 + -7 = -7
a = -7

Simplifying
a = -7

Subproblem 2
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a = 0 + -2
a = 0 + -2

Combine like terms: 0 + -2 = -2
a = -2

Simplifying
a = -2
Solution
a = {-7, -2}

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