3x^2+26x-105=0

Solution for 3x^2+26x-105=0 equation:

Simplifying
3x2 + 26x + -105 = 0

Reorder the terms:
-105 + 26x + 3x2 = 0

Solving
-105 + 26x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -3x)(3 + -1x) = 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 '(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
Solution
x = {-11.66666667, 3}