3x^2-3x-2=166

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Solution for 3x^2-3x-2=166 equation: 


Simplifying
3x2 + -3x + -2 = 166

Reorder the terms:
-2 + -3x + 3x2 = 166

Solving
-2 + -3x + 3x2 = 166

Solving for variable 'x'.

Reorder the terms:
-2 + -166 + -3x + 3x2 = 166 + -166

Combine like terms: -2 + -166 = -168
-168 + -3x + 3x2 = 166 + -166

Combine like terms: 166 + -166 = 0
-168 + -3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-56 + -1x + x2) = 0

Factor a trinomial.
3((-7 + -1x)(8 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
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

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 = {-7, 8}

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