2a^2+5a-250=0

Solution for 2a^2+5a-250=0 equation:

Simplifying
2a2 + 5a + -250 = 0

Reorder the terms:
-250 + 5a + 2a2 = 0

Solving
-250 + 5a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-25 + -2a)(10 + -1a) = 0

Subproblem 1
Set the factor '(-25 + -2a)' equal to zero and attempt to solve:

Simplifying
-25 + -2a = 0

Solving
-25 + -2a = 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 + -2a = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2a = 0 + 25
-2a = 0 + 25

Combine like terms: 0 + 25 = 25
-2a = 25

Divide each side by '-2'.
a = -12.5

Simplifying
a = -12.5
Subproblem 2
Set the factor '(10 + -1a)' equal to zero and attempt to solve:

Simplifying
10 + -1a = 0

Solving
10 + -1a = 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 + -1a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1a = 0 + -10
-1a = 0 + -10

Combine like terms: 0 + -10 = -10
-1a = -10

Divide each side by '-1'.
a = 10

Simplifying
a = 10
Solution
a = {-12.5, 10}