3x^2+2x-208=0

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Solution for 3x^2+2x-208=0 equation: 


Simplifying
3x2 + 2x + -208 = 0

Reorder the terms:
-208 + 2x + 3x2 = 0

Solving
-208 + 2x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-26 + -3x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-26 + -3x)' equal to zero and attempt to solve:

Simplifying
-26 + -3x = 0

Solving
-26 + -3x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -3x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -3x = 0 + 26
-3x = 0 + 26

Combine like terms: 0 + 26 = 26
-3x = 26

Divide each side by '-3'.
x = -8.666666667

Simplifying
x = -8.666666667

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-8.666666667, 8}

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