5p^2+4p-1=4p^2+4p+3

Solution for 5p^2+4p-1=4p^2+4p+3 equation:

Simplifying
5p2 + 4p + -1 = 4p2 + 4p + 3

Reorder the terms:
-1 + 4p + 5p2 = 4p2 + 4p + 3

Reorder the terms:
-1 + 4p + 5p2 = 3 + 4p + 4p2

Add '-4p' to each side of the equation.
-1 + 4p + -4p + 5p2 = 3 + 4p + -4p + 4p2

Combine like terms: 4p + -4p = 0
-1 + 0 + 5p2 = 3 + 4p + -4p + 4p2
-1 + 5p2 = 3 + 4p + -4p + 4p2

Combine like terms: 4p + -4p = 0
-1 + 5p2 = 3 + 0 + 4p2
-1 + 5p2 = 3 + 4p2

Solving
-1 + 5p2 = 3 + 4p2

Solving for variable 'p'.

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

Add '-4p2' to each side of the equation.
-1 + 5p2 + -4p2 = 3 + 4p2 + -4p2

Combine like terms: 5p2 + -4p2 = 1p2
-1 + 1p2 = 3 + 4p2 + -4p2

Combine like terms: 4p2 + -4p2 = 0
-1 + 1p2 = 3 + 0
-1 + 1p2 = 3

Add '1' to each side of the equation.
-1 + 1 + 1p2 = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 1p2 = 3 + 1
1p2 = 3 + 1

Combine like terms: 3 + 1 = 4
1p2 = 4

Divide each side by '1'.
p2 = 4

Simplifying
p2 = 4

Take the square root of each side:
p = {-2, 2}