25x^2-148x-12=0

Solution for 25x^2-148x-12=0 equation:

Simplifying
25x2 + -148x + -12 = 0

Reorder the terms:
-12 + -148x + 25x2 = 0

Solving
-12 + -148x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -25x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-2 + -25x)' equal to zero and attempt to solve:

Simplifying
-2 + -25x = 0

Solving
-2 + -25x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -25x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -25x = 0 + 2
-25x = 0 + 2

Combine like terms: 0 + 2 = 2
-25x = 2

Divide each side by '-25'.
x = -0.08

Simplifying
x = -0.08
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.08, 6}