4p^2+8p-74=3

Solution for 4p^2+8p-74=3 equation:

Simplifying
4p2 + 8p + -74 = 3

Reorder the terms:
-74 + 8p + 4p2 = 3

Solving
-74 + 8p + 4p2 = 3

Solving for variable 'p'.

Reorder the terms:
-74 + -3 + 8p + 4p2 = 3 + -3

Combine like terms: -74 + -3 = -77
-77 + 8p + 4p2 = 3 + -3

Combine like terms: 3 + -3 = 0
-77 + 8p + 4p2 = 0

Factor a trinomial.
(-11 + -2p)(7 + -2p) = 0

Subproblem 1
Set the factor '(-11 + -2p)' equal to zero and attempt to solve:

Simplifying
-11 + -2p = 0

Solving
-11 + -2p = 0

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

Add '11' to each side of the equation.
-11 + 11 + -2p = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -2p = 0 + 11
-2p = 0 + 11

Combine like terms: 0 + 11 = 11
-2p = 11

Divide each side by '-2'.
p = -5.5

Simplifying
p = -5.5
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 = {-5.5, 3.5}