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

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

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

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

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

Multiply (3 + x) * (-2 + 3x)
(3(-2 + 3x) + x(-2 + 3x)) = 144
((-2 * 3 + 3x * 3) + x(-2 + 3x)) = 144
((-6 + 9x) + x(-2 + 3x)) = 144
(-6 + 9x + (-2 * x + 3x * x)) = 144
(-6 + 9x + (-2x + 3x2)) = 144

Combine like terms: 9x + -2x = 7x
(-6 + 7x + 3x2) = 144

Solving
-6 + 7x + 3x2 = 144

Solving for variable 'x'.

Reorder the terms:
-6 + -144 + 7x + 3x2 = 144 + -144

Combine like terms: -6 + -144 = -150
-150 + 7x + 3x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-150 + 7x + 3x2 = 0

Factor a trinomial.
(-25 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -3x)' equal to zero and attempt to solve:

Simplifying
-25 + -3x = 0

Solving
-25 + -3x = 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 + -3x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -3x = 0 + 25
-3x = 0 + 25

Combine like terms: 0 + 25 = 25
-3x = 25

Divide each side by '-3'.
x = -8.333333333

Simplifying
x = -8.333333333
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8.333333333, 6}