20=9x^2+25x+14

Solution for 20=9x^2+25x+14 equation:

Simplifying
20 = 9x2 + 25x + 14

Reorder the terms:
20 = 14 + 25x + 9x2

Solving
20 = 14 + 25x + 9x2

Solving for variable 'x'.

Combine like terms: 20 + -14 = 6
6 + -25x + -9x2 = 14 + 25x + 9x2 + -14 + -25x + -9x2

Reorder the terms:
6 + -25x + -9x2 = 14 + -14 + 25x + -25x + 9x2 + -9x2

Combine like terms: 14 + -14 = 0
6 + -25x + -9x2 = 0 + 25x + -25x + 9x2 + -9x2
6 + -25x + -9x2 = 25x + -25x + 9x2 + -9x2

Combine like terms: 25x + -25x = 0
6 + -25x + -9x2 = 0 + 9x2 + -9x2
6 + -25x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
6 + -25x + -9x2 = 0

Factor a trinomial.
(2 + -9x)(3 + x) = 0

Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0.2222222222, -3}