1225x^2-175x-6=0

Solution for 1225x^2-175x-6=0 equation:

Simplifying
1225x2 + -175x + -6 = 0

Reorder the terms:
-6 + -175x + 1225x2 = 0

Solving
-6 + -175x + 1225x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -35x)(6 + -35x) = 0

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

Simplifying
-1 + -35x = 0

Solving
-1 + -35x = 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 + -35x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -35x = 0 + 1
-35x = 0 + 1

Combine like terms: 0 + 1 = 1
-35x = 1

Divide each side by '-35'.
x = -0.02857142857

Simplifying
x = -0.02857142857
Subproblem 2
Set the factor '(6 + -35x)' equal to zero and attempt to solve:

Simplifying
6 + -35x = 0

Solving
6 + -35x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -35x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -35x = 0 + -6
-35x = 0 + -6

Combine like terms: 0 + -6 = -6
-35x = -6

Divide each side by '-35'.
x = 0.1714285714

Simplifying
x = 0.1714285714
Solution
x = {-0.02857142857, 0.1714285714}