(2p-7)(5p+4)=

Solution for (2p-7)(5p+4)= equation:

Simplifying
(2p + -7)(5p + 4) = 0

Reorder the terms:
(-7 + 2p)(5p + 4) = 0

Reorder the terms:
(-7 + 2p)(4 + 5p) = 0

Multiply (-7 + 2p) * (4 + 5p)
(-7(4 + 5p) + 2p * (4 + 5p)) = 0
((4 * -7 + 5p * -7) + 2p * (4 + 5p)) = 0
((-28 + -35p) + 2p * (4 + 5p)) = 0
(-28 + -35p + (4 * 2p + 5p * 2p)) = 0
(-28 + -35p + (8p + 10p2)) = 0

Combine like terms: -35p + 8p = -27p
(-28 + -27p + 10p2) = 0

Solving
-28 + -27p + 10p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -5p)(7 + -2p) = 0

Subproblem 1
Set the factor '(-4 + -5p)' equal to zero and attempt to solve:

Simplifying
-4 + -5p = 0

Solving
-4 + -5p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5p = 0 + 4
-5p = 0 + 4

Combine like terms: 0 + 4 = 4
-5p = 4

Divide each side by '-5'.
p = -0.8

Simplifying
p = -0.8
Subproblem 2
Set the factor '(7 + -2p)' equal to zero and attempt to solve:

Simplifying
7 + -2p = 0

Solving
7 + -2p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2p = 0 + -7
-2p = 0 + -7

Combine like terms: 0 + -7 = -7
-2p = -7

Divide each side by '-2'.
p = 3.5

Simplifying
p = 3.5
Solution
p = {-0.8, 3.5}