-9x^2+17x+30=0

Solution for -9x^2+17x+30=0 equation:

Simplifying
-9x2 + 17x + 30 = 0

Reorder the terms:
30 + 17x + -9x2 = 0

Solving
30 + 17x + -9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(10 + 9x) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111
Solution
x = {3, -1.111111111}