3a^2+10a-400=0

Solution for 3a^2+10a-400=0 equation:

Simplifying
3a2 + 10a + -400 = 0

Reorder the terms:
-400 + 10a + 3a2 = 0

Solving
-400 + 10a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-40 + -3a)(10 + -1a) = 0

Subproblem 1
Set the factor '(-40 + -3a)' equal to zero and attempt to solve:

Simplifying
-40 + -3a = 0

Solving
-40 + -3a = 0

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

Add '40' to each side of the equation.
-40 + 40 + -3a = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -3a = 0 + 40
-3a = 0 + 40

Combine like terms: 0 + 40 = 40
-3a = 40

Divide each side by '-3'.
a = -13.33333333

Simplifying
a = -13.33333333
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 = {-13.33333333, 10}