41x^2+70x-159=0

Solution for 41x^2+70x-159=0 equation:

Simplifying
41x2 + 70x + -159 = 0

Reorder the terms:
-159 + 70x + 41x2 = 0

Solving
-159 + 70x + 41x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(53 + -41x) = 0

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(53 + -41x)' equal to zero and attempt to solve:

Simplifying
53 + -41x = 0

Solving
53 + -41x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -41x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -41x = 0 + -53
-41x = 0 + -53

Combine like terms: 0 + -53 = -53
-41x = -53

Divide each side by '-41'.
x = 1.292682927

Simplifying
x = 1.292682927
Solution
x = {-3, 1.292682927}