(5p-1)(2p+5)=

Solution for (5p-1)(2p+5)= equation:

Simplifying
(5p + -1)(2p + 5) = 0

Reorder the terms:
(-1 + 5p)(2p + 5) = 0

Reorder the terms:
(-1 + 5p)(5 + 2p) = 0

Multiply (-1 + 5p) * (5 + 2p)
(-1(5 + 2p) + 5p * (5 + 2p)) = 0
((5 * -1 + 2p * -1) + 5p * (5 + 2p)) = 0
((-5 + -2p) + 5p * (5 + 2p)) = 0
(-5 + -2p + (5 * 5p + 2p * 5p)) = 0
(-5 + -2p + (25p + 10p2)) = 0

Combine like terms: -2p + 25p = 23p
(-5 + 23p + 10p2) = 0

Solving
-5 + 23p + 10p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -2p)(1 + -5p) = 0

Subproblem 1
Set the factor '(-5 + -2p)' equal to zero and attempt to solve:

Simplifying
-5 + -2p = 0

Solving
-5 + -2p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2p = 0 + 5
-2p = 0 + 5

Combine like terms: 0 + 5 = 5
-2p = 5

Divide each side by '-2'.
p = -2.5

Simplifying
p = -2.5
Subproblem 2
Set the factor '(1 + -5p)' equal to zero and attempt to solve:

Simplifying
1 + -5p = 0

Solving
1 + -5p = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5p = 0 + -1
-5p = 0 + -1

Combine like terms: 0 + -1 = -1
-5p = -1

Divide each side by '-5'.
p = 0.2

Simplifying
p = 0.2
Solution
p = {-2.5, 0.2}