(3x+1)(2x-1)=144

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Solution for (3x+1)(2x-1)=144 equation: 


Simplifying
(3x + 1)(2x + -1) = 144

Reorder the terms:
(1 + 3x)(2x + -1) = 144

Reorder the terms:
(1 + 3x)(-1 + 2x) = 144

Multiply (1 + 3x) * (-1 + 2x)
(1(-1 + 2x) + 3x * (-1 + 2x)) = 144
((-1 * 1 + 2x * 1) + 3x * (-1 + 2x)) = 144
((-1 + 2x) + 3x * (-1 + 2x)) = 144
(-1 + 2x + (-1 * 3x + 2x * 3x)) = 144
(-1 + 2x + (-3x + 6x2)) = 144

Combine like terms: 2x + -3x = -1x
(-1 + -1x + 6x2) = 144

Solving
-1 + -1x + 6x2 = 144

Solving for variable 'x'.

Reorder the terms:
-1 + -144 + -1x + 6x2 = 144 + -144

Combine like terms: -1 + -144 = -145
-145 + -1x + 6x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-145 + -1x + 6x2 = 0

Factor a trinomial.
(-29 + -6x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-29 + -6x)' equal to zero and attempt to solve:

Simplifying
-29 + -6x = 0

Solving
-29 + -6x = 0

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

Add '29' to each side of the equation.
-29 + 29 + -6x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + -6x = 0 + 29
-6x = 0 + 29

Combine like terms: 0 + 29 = 29
-6x = 29

Divide each side by '-6'.
x = -4.833333333

Simplifying
x = -4.833333333

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 = {-4.833333333, 5}

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