10*x^2-x-156=0

Solution for 10*x^2-x-156=0 equation:

Simplifying
10x2 + -1x + -156 = 0

Reorder the terms:
-156 + -1x + 10x2 = 0

Solving
-156 + -1x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-39 + -10x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-39 + -10x)' equal to zero and attempt to solve:

Simplifying
-39 + -10x = 0

Solving
-39 + -10x = 0

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

Add '39' to each side of the equation.
-39 + 39 + -10x = 0 + 39

Combine like terms: -39 + 39 = 0
0 + -10x = 0 + 39
-10x = 0 + 39

Combine like terms: 0 + 39 = 39
-10x = 39

Divide each side by '-10'.
x = -3.9

Simplifying
x = -3.9
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 = {-3.9, 4}