0=3x^2+4x+1-96

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Solution for 0=3x^2+4x+1-96 equation: 


Simplifying
0 = 3x2 + 4x + 1 + -96

Reorder the terms:
0 = 1 + -96 + 4x + 3x2

Combine like terms: 1 + -96 = -95
0 = -95 + 4x + 3x2

Solving
0 = -95 + 4x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 95 = 95
95 + -4x + -3x2 = -95 + 4x + 3x2 + 95 + -4x + -3x2

Reorder the terms:
95 + -4x + -3x2 = -95 + 95 + 4x + -4x + 3x2 + -3x2

Combine like terms: -95 + 95 = 0
95 + -4x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2
95 + -4x + -3x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
95 + -4x + -3x2 = 0 + 3x2 + -3x2
95 + -4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
95 + -4x + -3x2 = 0

Factor a trinomial.
(5 + -1x)(19 + 3x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(19 + 3x)' equal to zero and attempt to solve:

Simplifying
19 + 3x = 0

Solving
19 + 3x = 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 + 3x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 0 + -19
3x = 0 + -19

Combine like terms: 0 + -19 = -19
3x = -19

Divide each side by '3'.
x = -6.333333333

Simplifying
x = -6.333333333
Solution
x = {5, -6.333333333}

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