(x+1)(3x+1)=96

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Solution for (x+1)(3x+1)=96 equation: 


Simplifying
(x + 1)(3x + 1) = 96

Reorder the terms:
(1 + x)(3x + 1) = 96

Reorder the terms:
(1 + x)(1 + 3x) = 96

Multiply (1 + x) * (1 + 3x)
(1(1 + 3x) + x(1 + 3x)) = 96
((1 * 1 + 3x * 1) + x(1 + 3x)) = 96
((1 + 3x) + x(1 + 3x)) = 96
(1 + 3x + (1 * x + 3x * x)) = 96
(1 + 3x + (1x + 3x2)) = 96

Combine like terms: 3x + 1x = 4x
(1 + 4x + 3x2) = 96

Solving
1 + 4x + 3x2 = 96

Solving for variable 'x'.

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

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

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

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-6.333333333, 5}

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