0=3x^2-1x-44

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Solution for 0=3x^2-1x-44 equation: 


Simplifying
0 = 3x2 + -1x + -44

Reorder the terms:
0 = -44 + -1x + 3x2

Solving
0 = -44 + -1x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 44 = 44
44 + x + -3x2 = -44 + -1x + 3x2 + 44 + x + -3x2

Reorder the terms:
44 + x + -3x2 = -44 + 44 + -1x + x + 3x2 + -3x2

Combine like terms: -44 + 44 = 0
44 + x + -3x2 = 0 + -1x + x + 3x2 + -3x2
44 + x + -3x2 = -1x + x + 3x2 + -3x2

Combine like terms: -1x + x = 0
44 + x + -3x2 = 0 + 3x2 + -3x2
44 + x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
44 + x + -3x2 = 0

Factor a trinomial.
(4 + -1x)(11 + 3x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(11 + 3x)' equal to zero and attempt to solve:

Simplifying
11 + 3x = 0

Solving
11 + 3x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 0 + -11
3x = 0 + -11

Combine like terms: 0 + -11 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667
Solution
x = {4, -3.666666667}

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