14(p^2-1)=45

Solution for 14(p^2-1)=45 equation:

Simplifying
14(p2 + -1) = 45

Reorder the terms:
14(-1 + p2) = 45
(-1 * 14 + p2 * 14) = 45
(-14 + 14p2) = 45

Solving
-14 + 14p2 = 45

Solving for variable 'p'.

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

Add '14' to each side of the equation.
-14 + 14 + 14p2 = 45 + 14

Combine like terms: -14 + 14 = 0
0 + 14p2 = 45 + 14
14p2 = 45 + 14

Combine like terms: 45 + 14 = 59
14p2 = 59

Divide each side by '14'.
p2 = 4.214285714

Simplifying
p2 = 4.214285714

Take the square root of each side:
p = {-2.052872552, 2.052872552}