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.
(-11 + -1X)(29 + -3X) = 0


Subproblem 1
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

Subproblem 2
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
Solution
X = {-11, 9.666666667}

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