(4p+4)(5p-2)=

Solution for (4p+4)(5p-2)= equation:

Simplifying
(4p + 4)(5p + -2) = 0

Reorder the terms:
(4 + 4p)(5p + -2) = 0

Reorder the terms:
(4 + 4p)(-2 + 5p) = 0

Multiply (4 + 4p) * (-2 + 5p)
(4(-2 + 5p) + 4p * (-2 + 5p)) = 0
((-2 * 4 + 5p * 4) + 4p * (-2 + 5p)) = 0
((-8 + 20p) + 4p * (-2 + 5p)) = 0
(-8 + 20p + (-2 * 4p + 5p * 4p)) = 0
(-8 + 20p + (-8p + 20p2)) = 0

Combine like terms: 20p + -8p = 12p
(-8 + 12p + 20p2) = 0

Solving
-8 + 12p + 20p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 3p + 5p2) = 0

Factor a trinomial.
4((-1 + -1p)(2 + -5p)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -1p)' equal to zero and attempt to solve:

Simplifying
-1 + -1p = 0

Solving
-1 + -1p = 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 + -1p = 0 + 1

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

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

Divide each side by '-1'.
p = -1

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

Simplifying
2 + -5p = 0

Solving
2 + -5p = 0

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

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

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

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

Divide each side by '-5'.
p = 0.4

Simplifying
p = 0.4
Solution
p = {-1, 0.4}