6x^2+7x-343=0

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Solution for 6x^2+7x-343=0 equation: 


Simplifying
6x2 + 7x + -343 = 0

Reorder the terms:
-343 + 7x + 6x2 = 0

Solving
-343 + 7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-49 + -6x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-49 + -6x)' equal to zero and attempt to solve:

Simplifying
-49 + -6x = 0

Solving
-49 + -6x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -6x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -6x = 0 + 49
-6x = 0 + 49

Combine like terms: 0 + 49 = 49
-6x = 49

Divide each side by '-6'.
x = -8.166666667

Simplifying
x = -8.166666667

Subproblem 2
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
Solution
x = {-8.166666667, 7}

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