Answer:
Step-by-step explaintation
a2 + 10a = 24
10a + a2 = 24
10a + a2 = 24
Solving for variable 'a'.
Reorder the terms:
-24 + 10a + a2 = 24 + -24
Combine like terms: 24 + -24 = 0
-24 + 10a + a2 = 0
Factor a trinomial.
(-12 + -1a)(2 + -1a) = 0
Set the factor '(-12 + -1a)' equal to zero and attempt to solve:
Simplifying
-12 + -1a = 0
Solving
-12 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + -1a = 0 + 12
Combine like terms: -12 + 12 = 0
0 + -1a = 0 + 12
-1a = 0 + 12
Combine like terms: 0 + 12 = 12
-1a = 12
Divide each side by '-1'.
a = -12
Simplifying
a = -12