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

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


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

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

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

Solving
7 + -9x + 2x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

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

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

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1, 3.5}

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