-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}