(x+3)(x-2)=234

Solution for (x+3)(x-2)=234 equation:

Simplifying
(x + 3)(x + -2) = 234

Reorder the terms:
(3 + x)(x + -2) = 234

Reorder the terms:
(3 + x)(-2 + x) = 234

Multiply (3 + x) * (-2 + x)
(3(-2 + x) + x(-2 + x)) = 234
((-2 * 3 + x * 3) + x(-2 + x)) = 234
((-6 + 3x) + x(-2 + x)) = 234
(-6 + 3x + (-2 * x + x * x)) = 234
(-6 + 3x + (-2x + x2)) = 234

Combine like terms: 3x + -2x = 1x
(-6 + 1x + x2) = 234

Solving
-6 + 1x + x2 = 234

Solving for variable 'x'.

Reorder the terms:
-6 + -234 + 1x + x2 = 234 + -234

Combine like terms: -6 + -234 = -240
-240 + 1x + x2 = 234 + -234

Combine like terms: 234 + -234 = 0
-240 + 1x + x2 = 0

Factor a trinomial.
(-16 + -1x)(15 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-16, 15}