9x^2+25x-100=0

Solution for 9x^2+25x-100=0 equation:

Simplifying
9x2 + 25x + -100 = 0

Reorder the terms:
-100 + 25x + 9x2 = 0

Solving
-100 + 25x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(20 + -9x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(20 + -9x)' equal to zero and attempt to solve:

Simplifying
20 + -9x = 0

Solving
20 + -9x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = 0 + -20
-9x = 0 + -20

Combine like terms: 0 + -20 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222
Solution
x = {-5, 2.222222222}