(2x-3)(3x+2)=119

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Solution for (2x-3)(3x+2)=119 equation: 


Simplifying
(2x + -3)(3x + 2) = 119

Reorder the terms:
(-3 + 2x)(3x + 2) = 119

Reorder the terms:
(-3 + 2x)(2 + 3x) = 119

Multiply (-3 + 2x) * (2 + 3x)
(-3(2 + 3x) + 2x * (2 + 3x)) = 119
((2 * -3 + 3x * -3) + 2x * (2 + 3x)) = 119
((-6 + -9x) + 2x * (2 + 3x)) = 119
(-6 + -9x + (2 * 2x + 3x * 2x)) = 119
(-6 + -9x + (4x + 6x2)) = 119

Combine like terms: -9x + 4x = -5x
(-6 + -5x + 6x2) = 119

Solving
-6 + -5x + 6x2 = 119

Solving for variable 'x'.

Reorder the terms:
-6 + -119 + -5x + 6x2 = 119 + -119

Combine like terms: -6 + -119 = -125
-125 + -5x + 6x2 = 119 + -119

Combine like terms: 119 + -119 = 0
-125 + -5x + 6x2 = 0

Factor a trinomial.
(-25 + -6x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -6x)' equal to zero and attempt to solve:

Simplifying
-25 + -6x = 0

Solving
-25 + -6x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -6x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -6x = 0 + 25
-6x = 0 + 25

Combine like terms: 0 + 25 = 25
-6x = 25

Divide each side by '-6'.
x = -4.166666667

Simplifying
x = -4.166666667

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 = {-4.166666667, 5}

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