a^2+35a+300=50

Solution for a^2+35a+300=50 equation:

Simplifying
a2 + 35a + 300 = 50

Reorder the terms:
300 + 35a + a2 = 50

Solving
300 + 35a + a2 = 50

Solving for variable 'a'.

Reorder the terms:
300 + -50 + 35a + a2 = 50 + -50

Combine like terms: 300 + -50 = 250
250 + 35a + a2 = 50 + -50

Combine like terms: 50 + -50 = 0
250 + 35a + a2 = 0

Factor a trinomial.
(25 + a)(10 + a) = 0

Subproblem 1
Set the factor '(25 + a)' equal to zero and attempt to solve:

Simplifying
25 + a = 0

Solving
25 + a = 0

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

Add '-25' to each side of the equation.
25 + -25 + a = 0 + -25

Combine like terms: 25 + -25 = 0
0 + a = 0 + -25
a = 0 + -25

Combine like terms: 0 + -25 = -25
a = -25

Simplifying
a = -25
Subproblem 2
Set the factor '(10 + a)' equal to zero and attempt to solve:

Simplifying
10 + a = 0

Solving
10 + a = 0

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

Add '-10' to each side of the equation.
10 + -10 + a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + a = 0 + -10
a = 0 + -10

Combine like terms: 0 + -10 = -10
a = -10

Simplifying
a = -10
Solution
a = {-25, -10}