4p^2-4p=35

Solution for 4p^2-4p=35 equation:

Simplifying
4p2 + -4p = 35

Reorder the terms:
-4p + 4p2 = 35

Solving
-4p + 4p2 = 35

Solving for variable 'p'.

Reorder the terms:
-35 + -4p + 4p2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + -4p + 4p2 = 0

Factor a trinomial.
(-5 + -2p)(7 + -2p) = 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 '(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 = {-2.5, 3.5}