(x^2+3+x-5)(6)=

Solution for (x^2+3+x-5)(6)= equation:

Simplifying
(x2 + 3 + x + -5)(6) = 0

Reorder the terms:
(3 + -5 + x + x2)(6) = 0

Combine like terms: 3 + -5 = -2
(-2 + x + x2)(6) = 0

Reorder the terms for easier multiplication:
6(-2 + x + x2) = 0
(-2 * 6 + x * 6 + x2 * 6) = 0
(-12 + 6x + 6x2) = 0

Solving
-12 + 6x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + x + x2) = 0

Factor a trinomial.
6((-2 + -1x)(1 + -1x)) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-2, 1}