7p^2=11p-4

Solution for 7p^2=11p-4 equation:

Simplifying
7p2 = 11p + -4

Reorder the terms:
7p2 = -4 + 11p

Solving
7p2 = -4 + 11p

Solving for variable 'p'.

Reorder the terms:
4 + -11p + 7p2 = -4 + 11p + 4 + -11p

Reorder the terms:
4 + -11p + 7p2 = -4 + 4 + 11p + -11p

Combine like terms: -4 + 4 = 0
4 + -11p + 7p2 = 0 + 11p + -11p
4 + -11p + 7p2 = 11p + -11p

Combine like terms: 11p + -11p = 0
4 + -11p + 7p2 = 0

Factor a trinomial.
(4 + -7p)(1 + -1p) = 0

Subproblem 1
Set the factor '(4 + -7p)' equal to zero and attempt to solve:

Simplifying
4 + -7p = 0

Solving
4 + -7p = 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 + -7p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7p = 0 + -4
-7p = 0 + -4

Combine like terms: 0 + -4 = -4
-7p = -4

Divide each side by '-7'.
p = 0.5714285714

Simplifying
p = 0.5714285714
Subproblem 2
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
Solution
p = {0.5714285714, 1}