(7x-2)(x-1)=0

Solution for (7x-2)(x-1)=0 equation:

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

Reorder the terms:
(-2 + 7x)(x + -1) = 0

Reorder the terms:
(-2 + 7x)(-1 + x) = 0

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

Combine like terms: -2x + -7x = -9x
(2 + -9x + 7x2) = 0

Solving
2 + -9x + 7x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.2857142857, 1}