-2(p^2-4)=7p^2-1

Solution for -2(p^2-4)=7p^2-1 equation:

Simplifying
-2(p2 + -4) = 7p2 + -1

Reorder the terms:
-2(-4 + p2) = 7p2 + -1
(-4 * -2 + p2 * -2) = 7p2 + -1
(8 + -2p2) = 7p2 + -1

Reorder the terms:
8 + -2p2 = -1 + 7p2

Solving
8 + -2p2 = -1 + 7p2

Solving for variable 'p'.

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

Add '-7p2' to each side of the equation.
8 + -2p2 + -7p2 = -1 + 7p2 + -7p2

Combine like terms: -2p2 + -7p2 = -9p2
8 + -9p2 = -1 + 7p2 + -7p2

Combine like terms: 7p2 + -7p2 = 0
8 + -9p2 = -1 + 0
8 + -9p2 = -1

Add '-8' to each side of the equation.
8 + -8 + -9p2 = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -9p2 = -1 + -8
-9p2 = -1 + -8

Combine like terms: -1 + -8 = -9
-9p2 = -9

Divide each side by '-9'.
p2 = 1

Simplifying
p2 = 1

Take the square root of each side:
p = {-1, 1}