16p^2+1=101

Solution for 16p^2+1=101 equation:

Simplifying
16p2 + 1 = 101

Reorder the terms:
1 + 16p2 = 101

Solving
1 + 16p2 = 101

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + -1 + 16p2 = 101 + -1

Combine like terms: 1 + -1 = 0
0 + 16p2 = 101 + -1
16p2 = 101 + -1

Combine like terms: 101 + -1 = 100
16p2 = 100

Divide each side by '16'.
p2 = 6.25

Simplifying
p2 = 6.25

Take the square root of each side:
p = {-2.5, 2.5}