35x^2-24x-188=0

Solution for 35x^2-24x-188=0 equation:

Simplifying
35x2 + -24x + -188 = 0

Reorder the terms:
-188 + -24x + 35x2 = 0

Solving
-188 + -24x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(94 + -35x) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 2
Set the factor '(94 + -35x)' equal to zero and attempt to solve:

Simplifying
94 + -35x = 0

Solving
94 + -35x = 0

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

Add '-94' to each side of the equation.
94 + -94 + -35x = 0 + -94

Combine like terms: 94 + -94 = 0
0 + -35x = 0 + -94
-35x = 0 + -94

Combine like terms: 0 + -94 = -94
-35x = -94

Divide each side by '-35'.
x = 2.685714286

Simplifying
x = 2.685714286
Solution
x = {-2, 2.685714286}