14x^2-141x+10=0

Solution for 14x^2-141x+10=0 equation:

Simplifying
14x2 + -141x + 10 = 0

Reorder the terms:
10 + -141x + 14x2 = 0

Solving
10 + -141x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -14x)(10 + -1x) = 0

Subproblem 1
Set the factor '(1 + -14x)' equal to zero and attempt to solve:

Simplifying
1 + -14x = 0

Solving
1 + -14x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -14x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -14x = 0 + -1
-14x = 0 + -1

Combine like terms: 0 + -1 = -1
-14x = -1

Divide each side by '-14'.
x = 0.07142857143

Simplifying
x = 0.07142857143
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 = {0.07142857143, 10}