(9p-1)(9p-1)=81p^2+1

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Solution for (9p-1)(9p-1)=81p^2+1 equation:


Simplifying
(9p + -1)(9p + -1) = 81p2 + 1

Reorder the terms:
(-1 + 9p)(9p + -1) = 81p2 + 1

Reorder the terms:
(-1 + 9p)(-1 + 9p) = 81p2 + 1

Multiply (-1 + 9p) * (-1 + 9p)
(-1(-1 + 9p) + 9p * (-1 + 9p)) = 81p2 + 1
((-1 * -1 + 9p * -1) + 9p * (-1 + 9p)) = 81p2 + 1
((1 + -9p) + 9p * (-1 + 9p)) = 81p2 + 1
(1 + -9p + (-1 * 9p + 9p * 9p)) = 81p2 + 1
(1 + -9p + (-9p + 81p2)) = 81p2 + 1

Combine like terms: -9p + -9p = -18p
(1 + -18p + 81p2) = 81p2 + 1

Reorder the terms:
1 + -18p + 81p2 = 1 + 81p2

Add '-1' to each side of the equation.
1 + -18p + -1 + 81p2 = 1 + -1 + 81p2

Reorder the terms:
1 + -1 + -18p + 81p2 = 1 + -1 + 81p2

Combine like terms: 1 + -1 = 0
0 + -18p + 81p2 = 1 + -1 + 81p2
-18p + 81p2 = 1 + -1 + 81p2

Combine like terms: 1 + -1 = 0
-18p + 81p2 = 0 + 81p2
-18p + 81p2 = 81p2

Add '-81p2' to each side of the equation.
-18p + 81p2 + -81p2 = 81p2 + -81p2

Combine like terms: 81p2 + -81p2 = 0
-18p + 0 = 81p2 + -81p2
-18p = 81p2 + -81p2

Combine like terms: 81p2 + -81p2 = 0
-18p = 0

Solving
-18p = 0

Solving for variable 'p'.

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

Divide each side by '-18'.
p = 0

Simplifying
p = 0

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