0=3x^2+2x-456

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


Simplifying
0 = 3x2 + 2x + -456

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

Solving
0 = -456 + 2x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 456 = 456
456 + -2x + -3x2 = -456 + 2x + 3x2 + 456 + -2x + -3x2

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

Combine like terms: -456 + 456 = 0
456 + -2x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2
456 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
456 + -2x + -3x2 = 0 + 3x2 + -3x2
456 + -2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
456 + -2x + -3x2 = 0

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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