12x^3-17x^2-14x=

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Solution for 12x^3-17x^2-14x= equation: 


Simplifying
12x3 + -17x2 + -14x = 0

Reorder the terms:
-14x + -17x2 + 12x3 = 0

Solving
-14x + -17x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + -17x + 12x2) = 0

Factor a trinomial.
x((-7 + -12x)(2 + -1x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-7 + -12x)' equal to zero and attempt to solve:

Simplifying
-7 + -12x = 0

Solving
-7 + -12x = 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 + -12x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = 0 + 7
-12x = 0 + 7

Combine like terms: 0 + 7 = 7
-12x = 7

Divide each side by '-12'.
x = -0.5833333333

Simplifying
x = -0.5833333333

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, -0.5833333333, 2}

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