30x^2+29x-357=0

Solution for 30x^2+29x-357=0 equation:

Simplifying
30x2 + 29x + -357 = 0

Reorder the terms:
-357 + 29x + 30x2 = 0

Solving
-357 + 29x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-119 + -30x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-119 + -30x)' equal to zero and attempt to solve:

Simplifying
-119 + -30x = 0

Solving
-119 + -30x = 0

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

Add '119' to each side of the equation.
-119 + 119 + -30x = 0 + 119

Combine like terms: -119 + 119 = 0
0 + -30x = 0 + 119
-30x = 0 + 119

Combine like terms: 0 + 119 = 119
-30x = 119

Divide each side by '-30'.
x = -3.966666667

Simplifying
x = -3.966666667
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 = {-3.966666667, 3}