(7p-1)(7p-1)=

Solution for (7p-1)(7p-1)= equation:

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

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

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

Multiply (-1 + 7p) * (-1 + 7p)
(-1(-1 + 7p) + 7p * (-1 + 7p)) = 0
((-1 * -1 + 7p * -1) + 7p * (-1 + 7p)) = 0
((1 + -7p) + 7p * (-1 + 7p)) = 0
(1 + -7p + (-1 * 7p + 7p * 7p)) = 0
(1 + -7p + (-7p + 49p2)) = 0

Combine like terms: -7p + -7p = -14p
(1 + -14p + 49p2) = 0

Solving
1 + -14p + 49p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + -7p = 0

Solving
1 + -7p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7p = 0 + -1

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

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

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

Simplifying
p = 0.1428571429
Subproblem 2
Set the factor '(1 + -7p)' equal to zero and attempt to solve:

Simplifying
1 + -7p = 0

Solving
1 + -7p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -7p = 0 + -1

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

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

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

Simplifying
p = 0.1428571429
Solution
p = {0.1428571429, 0.1428571429}