(5p*5p-3)+(2p*2p-3p*3p)=

Solution for (5p*5p-3)+(2p*2p-3p*3p)= equation:

Simplifying
(5p * 5p + -3) + (2p * 2p + -3p * 3p) = 0

Reorder the terms for easier multiplication:
(5 * 5p * p + -3) + (2p * 2p + -3p * 3p) = 0

Multiply 5 * 5
(25p * p + -3) + (2p * 2p + -3p * 3p) = 0

Multiply p * p
(25p2 + -3) + (2p * 2p + -3p * 3p) = 0

Reorder the terms:
(-3 + 25p2) + (2p * 2p + -3p * 3p) = 0

Remove parenthesis around (-3 + 25p2)
-3 + 25p2 + (2p * 2p + -3p * 3p) = 0

Reorder the terms for easier multiplication:
-3 + 25p2 + (2 * 2p * p + -3p * 3p) = 0

Multiply 2 * 2
-3 + 25p2 + (4p * p + -3p * 3p) = 0

Multiply p * p
-3 + 25p2 + (4p2 + -3p * 3p) = 0

Reorder the terms for easier multiplication:
-3 + 25p2 + (4p2 + -3 * 3p * p) = 0

Multiply -3 * 3
-3 + 25p2 + (4p2 + -9p * p) = 0

Multiply p * p
-3 + 25p2 + (4p2 + -9p2) = 0

Combine like terms: 4p2 + -9p2 = -5p2
-3 + 25p2 + (-5p2) = 0
-3 + 25p2 + (-5p2) = 0

Combine like terms: 25p2 + (-5p2) = 20p2
-3 + 20p2 = 0

Solving
-3 + 20p2 = 0

Solving for variable 'p'.

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

Add '3' to each side of the equation.
-3 + 3 + 20p2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 20p2 = 0 + 3
20p2 = 0 + 3

Combine like terms: 0 + 3 = 3
20p2 = 3

Divide each side by '20'.
p2 = 0.15

Simplifying
p2 = 0.15

Take the square root of each side:
p = {-0.387298335, 0.387298335}