9x^2-x-140=0

Solution for 9x^2-x-140=0 equation:

Simplifying
9x2 + -1x + -140 = 0

Reorder the terms:
-140 + -1x + 9x2 = 0

Solving
-140 + -1x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -9x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -9x)' equal to zero and attempt to solve:

Simplifying
-35 + -9x = 0

Solving
-35 + -9x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -9x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -9x = 0 + 35
-9x = 0 + 35

Combine like terms: 0 + 35 = 35
-9x = 35

Divide each side by '-9'.
x = -3.888888889

Simplifying
x = -3.888888889
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-3.888888889, 4}