3x^2-4x-119=0

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Solution for 3x^2-4x-119=0 equation:


Simplifying
3x2 + -4x + -119 = 0

Reorder the terms:
-119 + -4x + 3x2 = 0

Solving
-119 + -4x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-17 + -3x)' equal to zero and attempt to solve:

Simplifying
-17 + -3x = 0

Solving
-17 + -3x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -3x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -3x = 0 + 17
-3x = 0 + 17

Combine like terms: 0 + 17 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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 = {-5.666666667, 7}

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