a^2+7a=144

Solution for a^2+7a=144 equation:

Simplifying
a2 + 7a = 144

Reorder the terms:
7a + a2 = 144

Solving
7a + a2 = 144

Solving for variable 'a'.

Reorder the terms:
-144 + 7a + a2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 7a + a2 = 0

Factor a trinomial.
(-16 + -1a)(9 + -1a) = 0

Subproblem 1
Set the factor '(-16 + -1a)' equal to zero and attempt to solve:

Simplifying
-16 + -1a = 0

Solving
-16 + -1a = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1a = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1a = 0 + 16
-1a = 0 + 16

Combine like terms: 0 + 16 = 16
-1a = 16

Divide each side by '-1'.
a = -16

Simplifying
a = -16
Subproblem 2
Set the factor '(9 + -1a)' equal to zero and attempt to solve:

Simplifying
9 + -1a = 0

Solving
9 + -1a = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = 0 + -9
-1a = 0 + -9

Combine like terms: 0 + -9 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9
Solution
a = {-16, 9}