6x^2-37x-553=0

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Solution for 6x^2-37x-553=0 equation: 


Simplifying
6x2 + -37x + -553 = 0

Reorder the terms:
-553 + -37x + 6x2 = 0

Solving
-553 + -37x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(79 + -6x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(79 + -6x)' equal to zero and attempt to solve:

Simplifying
79 + -6x = 0

Solving
79 + -6x = 0

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

Add '-79' to each side of the equation.
79 + -79 + -6x = 0 + -79

Combine like terms: 79 + -79 = 0
0 + -6x = 0 + -79
-6x = 0 + -79

Combine like terms: 0 + -79 = -79
-6x = -79

Divide each side by '-6'.
x = 13.16666667

Simplifying
x = 13.16666667
Solution
x = {-7, 13.16666667}

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