12x^2+137x-35=0

Solution for 12x^2+137x-35=0 equation:

Simplifying
12x2 + 137x + -35 = 0

Reorder the terms:
-35 + 137x + 12x2 = 0

Solving
-35 + 137x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -3x)(1 + -4x) = 0

Subproblem 1
Set the factor '(-35 + -3x)' equal to zero and attempt to solve:

Simplifying
-35 + -3x = 0

Solving
-35 + -3x = 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 + -3x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -3x = 0 + 35
-3x = 0 + 35

Combine like terms: 0 + 35 = 35
-3x = 35

Divide each side by '-3'.
x = -11.66666667

Simplifying
x = -11.66666667
Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-11.66666667, 0.25}