3x^2-55x-58=0

Solution for 3x^2-55x-58=0 equation:

Simplifying
3x2 + -55x + -58 = 0

Reorder the terms:
-58 + -55x + 3x2 = 0

Solving
-58 + -55x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(58 + -3x) = 0

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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(58 + -3x)' equal to zero and attempt to solve:

Simplifying
58 + -3x = 0

Solving
58 + -3x = 0

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

Add '-58' to each side of the equation.
58 + -58 + -3x = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -3x = 0 + -58
-3x = 0 + -58

Combine like terms: 0 + -58 = -58
-3x = -58

Divide each side by '-3'.
x = 19.33333333

Simplifying
x = 19.33333333
Solution
x = {-1, 19.33333333}