(3-2x)(6+7x)=

Solution for (3-2x)(6+7x)= equation:

Simplifying
(3 + -2x)(6 + 7x) = 0

Multiply (3 + -2x) * (6 + 7x)
(3(6 + 7x) + -2x * (6 + 7x)) = 0
((6 * 3 + 7x * 3) + -2x * (6 + 7x)) = 0
((18 + 21x) + -2x * (6 + 7x)) = 0
(18 + 21x + (6 * -2x + 7x * -2x)) = 0
(18 + 21x + (-12x + -14x2)) = 0

Combine like terms: 21x + -12x = 9x
(18 + 9x + -14x2) = 0

Solving
18 + 9x + -14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -2x)(6 + 7x) = 0

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve:

Simplifying
6 + 7x = 0

Solving
6 + 7x = 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 + 7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 0 + -6
7x = 0 + -6

Combine like terms: 0 + -6 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571
Solution
x = {1.5, -0.8571428571}