9x^2+97x+210=0

Solution for 9x^2+97x+210=0 equation:

Simplifying
9x2 + 97x + 210 = 0

Reorder the terms:
210 + 97x + 9x2 = 0

Solving
210 + 97x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(70 + 9x)(3 + x) = 0

Subproblem 1
Set the factor '(70 + 9x)' equal to zero and attempt to solve:

Simplifying
70 + 9x = 0

Solving
70 + 9x = 0

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

Add '-70' to each side of the equation.
70 + -70 + 9x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + 9x = 0 + -70
9x = 0 + -70

Combine like terms: 0 + -70 = -70
9x = -70

Divide each side by '9'.
x = -7.777777778

Simplifying
x = -7.777777778
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 = {-7.777777778, -3}