0=12x^2+5x-38

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Solution for 0=12x^2+5x-38 equation: 


Simplifying
0 = 12x2 + 5x + -38

Reorder the terms:
0 = -38 + 5x + 12x2

Solving
0 = -38 + 5x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + 38 = 38
38 + -5x + -12x2 = -38 + 5x + 12x2 + 38 + -5x + -12x2

Reorder the terms:
38 + -5x + -12x2 = -38 + 38 + 5x + -5x + 12x2 + -12x2

Combine like terms: -38 + 38 = 0
38 + -5x + -12x2 = 0 + 5x + -5x + 12x2 + -12x2
38 + -5x + -12x2 = 5x + -5x + 12x2 + -12x2

Combine like terms: 5x + -5x = 0
38 + -5x + -12x2 = 0 + 12x2 + -12x2
38 + -5x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
38 + -5x + -12x2 = 0

Factor a trinomial.
(19 + -12x)(2 + x) = 0


Subproblem 1
Set the factor '(19 + -12x)' equal to zero and attempt to solve:

Simplifying
19 + -12x = 0

Solving
19 + -12x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -12x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = 0 + -19
-12x = 0 + -19

Combine like terms: 0 + -19 = -19
-12x = -19

Divide each side by '-12'.
x = 1.583333333

Simplifying
x = 1.583333333

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {1.583333333, -2}

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