12x^2-25x-175=0

Solution for 12x^2-25x-175=0 equation:

Simplifying
12x2 + -25x + -175 = 0

Reorder the terms:
-175 + -25x + 12x2 = 0

Solving
-175 + -25x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -12x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -12x)' equal to zero and attempt to solve:

Simplifying
-35 + -12x = 0

Solving
-35 + -12x = 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 + -12x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -12x = 0 + 35
-12x = 0 + 35

Combine like terms: 0 + 35 = 35
-12x = 35

Divide each side by '-12'.
x = -2.916666667

Simplifying
x = -2.916666667
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-2.916666667, 5}