2a^2+5a-525=0

Solution for 2a^2+5a-525=0 equation:

Simplifying
2a2 + 5a + -525 = 0

Reorder the terms:
-525 + 5a + 2a2 = 0

Solving
-525 + 5a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-35 + -2a)(15 + -1a) = 0

Subproblem 1
Set the factor '(-35 + -2a)' equal to zero and attempt to solve:

Simplifying
-35 + -2a = 0

Solving
-35 + -2a = 0

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

Add '35' to each side of the equation.
-35 + 35 + -2a = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -2a = 0 + 35
-2a = 0 + 35

Combine like terms: 0 + 35 = 35
-2a = 35

Divide each side by '-2'.
a = -17.5

Simplifying
a = -17.5
Subproblem 2
Set the factor '(15 + -1a)' equal to zero and attempt to solve:

Simplifying
15 + -1a = 0

Solving
15 + -1a = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1a = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1a = 0 + -15
-1a = 0 + -15

Combine like terms: 0 + -15 = -15
-1a = -15

Divide each side by '-1'.
a = 15

Simplifying
a = 15
Solution
a = {-17.5, 15}