(3x+2)(2x-1)=153

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Solution for (3x+2)(2x-1)=153 equation: 


Simplifying
(3x + 2)(2x + -1) = 153

Reorder the terms:
(2 + 3x)(2x + -1) = 153

Reorder the terms:
(2 + 3x)(-1 + 2x) = 153

Multiply (2 + 3x) * (-1 + 2x)
(2(-1 + 2x) + 3x * (-1 + 2x)) = 153
((-1 * 2 + 2x * 2) + 3x * (-1 + 2x)) = 153
((-2 + 4x) + 3x * (-1 + 2x)) = 153
(-2 + 4x + (-1 * 3x + 2x * 3x)) = 153
(-2 + 4x + (-3x + 6x2)) = 153

Combine like terms: 4x + -3x = 1x
(-2 + 1x + 6x2) = 153

Solving
-2 + 1x + 6x2 = 153

Solving for variable 'x'.

Reorder the terms:
-2 + -153 + 1x + 6x2 = 153 + -153

Combine like terms: -2 + -153 = -155
-155 + 1x + 6x2 = 153 + -153

Combine like terms: 153 + -153 = 0
-155 + 1x + 6x2 = 0

Factor a trinomial.
(-31 + -6x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-31 + -6x)' equal to zero and attempt to solve:

Simplifying
-31 + -6x = 0

Solving
-31 + -6x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -6x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -6x = 0 + 31
-6x = 0 + 31

Combine like terms: 0 + 31 = 31
-6x = 31

Divide each side by '-6'.
x = -5.166666667

Simplifying
x = -5.166666667

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 = {-5.166666667, 5}

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