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

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


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

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

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

Multiply (-1 + 7x) * (-7 + x)
(-1(-7 + x) + 7x * (-7 + x)) = 0
((-7 * -1 + x * -1) + 7x * (-7 + x)) = 0
((7 + -1x) + 7x * (-7 + x)) = 0
(7 + -1x + (-7 * 7x + x * 7x)) = 0
(7 + -1x + (-49x + 7x2)) = 0

Combine like terms: -1x + -49x = -50x
(7 + -50x + 7x2) = 0

Solving
7 + -50x + 7x2 = 0

Solving for variable 'x'.

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


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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {0.1428571429, 7}

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