3x^2-2x-456=0

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Solution for 3x^2-2x-456=0 equation: 


Simplifying
3x2 + -2x + -456 = 0

Reorder the terms:
-456 + -2x + 3x2 = 0

Solving
-456 + -2x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(38 + -3x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(38 + -3x)' equal to zero and attempt to solve:

Simplifying
38 + -3x = 0

Solving
38 + -3x = 0

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

Add '-38' to each side of the equation.
38 + -38 + -3x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + -3x = 0 + -38
-3x = 0 + -38

Combine like terms: 0 + -38 = -38
-3x = -38

Divide each side by '-3'.
x = 12.66666667

Simplifying
x = 12.66666667
Solution
x = {-12, 12.66666667}

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