35(p^2-1)=24

Solution for 35(p^2-1)=24 equation:

Simplifying
35(p2 + -1) = 24

Reorder the terms:
35(-1 + p2) = 24
(-1 * 35 + p2 * 35) = 24
(-35 + 35p2) = 24

Solving
-35 + 35p2 = 24

Solving for variable 'p'.

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

Add '35' to each side of the equation.
-35 + 35 + 35p2 = 24 + 35

Combine like terms: -35 + 35 = 0
0 + 35p2 = 24 + 35
35p2 = 24 + 35

Combine like terms: 24 + 35 = 59
35p2 = 59

Divide each side by '35'.
p2 = 1.685714286

Simplifying
p2 = 1.685714286

Take the square root of each side:
p = {-1.298350602, 1.298350602}