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

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

Simplifying
(2 + -1x)(6 + -7x) = 0

Multiply (2 + -1x) * (6 + -7x)
(2(6 + -7x) + -1x * (6 + -7x)) = 0
((6 * 2 + -7x * 2) + -1x * (6 + -7x)) = 0
((12 + -14x) + -1x * (6 + -7x)) = 0
(12 + -14x + (6 * -1x + -7x * -1x)) = 0
(12 + -14x + (-6x + 7x2)) = 0

Combine like terms: -14x + -6x = -20x
(12 + -20x + 7x2) = 0

Solving
12 + -20x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -7x)(2 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {0.8571428571, 2}