3x^2-4x-319=0

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Solution for 3x^2-4x-319=0 equation: 


Simplifying
3x2 + -4x + -319 = 0

Reorder the terms:
-319 + -4x + 3x2 = 0

Solving
-319 + -4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-29 + -3x)(11 + -1x) = 0


Subproblem 1
Set the factor '(-29 + -3x)' equal to zero and attempt to solve:

Simplifying
-29 + -3x = 0

Solving
-29 + -3x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -3x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -3x = 0 + 29
-3x = 0 + 29

Combine like terms: 0 + 29 = 29
-3x = 29

Divide each side by '-3'.
x = -9.666666667

Simplifying
x = -9.666666667

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-9.666666667, 11}

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