(1x-6)(7x-4)=0

Solution for (1x-6)(7x-4)=0 equation:

Simplifying
(1x + -6)(7x + -4) = 0

Reorder the terms:
(-6 + 1x)(7x + -4) = 0

Reorder the terms:
(-6 + 1x)(-4 + 7x) = 0

Multiply (-6 + 1x) * (-4 + 7x)
(-6(-4 + 7x) + 1x * (-4 + 7x)) = 0
((-4 * -6 + 7x * -6) + 1x * (-4 + 7x)) = 0
((24 + -42x) + 1x * (-4 + 7x)) = 0
(24 + -42x + (-4 * 1x + 7x * 1x)) = 0
(24 + -42x + (-4x + 7x2)) = 0

Combine like terms: -42x + -4x = -46x
(24 + -46x + 7x2) = 0

Solving
24 + -46x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(6 + -1x) = 0

Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0.5714285714, 6}