2x^2+9x-290=0

Solution for 2x^2+9x-290=0 equation:

Simplifying
2x2 + 9x + -290 = 0

Reorder the terms:
-290 + 9x + 2x2 = 0

Solving
-290 + 9x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-29 + -2x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-29 + -2x)' equal to zero and attempt to solve:

Simplifying
-29 + -2x = 0

Solving
-29 + -2x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -2x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -2x = 0 + 29
-2x = 0 + 29

Combine like terms: 0 + 29 = 29
-2x = 29

Divide each side by '-2'.
x = -14.5

Simplifying
x = -14.5
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-14.5, 10}