(-7x+1)(-3x+6)=

Solution for (-7x+1)(-3x+6)= equation:

Simplifying
(-7x + 1)(-3x + 6) = 0

Reorder the terms:
(1 + -7x)(-3x + 6) = 0

Reorder the terms:
(1 + -7x)(6 + -3x) = 0

Multiply (1 + -7x) * (6 + -3x)
(1(6 + -3x) + -7x * (6 + -3x)) = 0
((6 * 1 + -3x * 1) + -7x * (6 + -3x)) = 0
((6 + -3x) + -7x * (6 + -3x)) = 0
(6 + -3x + (6 * -7x + -3x * -7x)) = 0
(6 + -3x + (-42x + 21x2)) = 0

Combine like terms: -3x + -42x = -45x
(6 + -45x + 21x2) = 0

Solving
6 + -45x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -15x + 7x2) = 0

Factor a trinomial.
3((1 + -7x)(2 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -7x)' equal to zero and attempt to solve:

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
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 = {0.1428571429, 2}