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

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

Simplifying
(6 + x)(2 + -3x) = 0

Multiply (6 + x) * (2 + -3x)
(6(2 + -3x) + x(2 + -3x)) = 0
((2 * 6 + -3x * 6) + x(2 + -3x)) = 0
((12 + -18x) + x(2 + -3x)) = 0
(12 + -18x + (2 * x + -3x * x)) = 0
(12 + -18x + (2x + -3x2)) = 0

Combine like terms: -18x + 2x = -16x
(12 + -16x + -3x2) = 0

Solving
12 + -16x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -3x)(6 + x) = 0

Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Solution
x = {0.6666666667, -6}