5p^2-2p+3=-1+7p

Solution for 5p^2-2p+3=-1+7p equation:

Simplifying
5p2 + -2p + 3 = -1 + 7p

Reorder the terms:
3 + -2p + 5p2 = -1 + 7p

Solving
3 + -2p + 5p2 = -1 + 7p

Solving for variable 'p'.

Reorder the terms:
3 + 1 + -2p + -7p + 5p2 = -1 + 7p + 1 + -7p

Combine like terms: 3 + 1 = 4
4 + -2p + -7p + 5p2 = -1 + 7p + 1 + -7p

Combine like terms: -2p + -7p = -9p
4 + -9p + 5p2 = -1 + 7p + 1 + -7p

Reorder the terms:
4 + -9p + 5p2 = -1 + 1 + 7p + -7p

Combine like terms: -1 + 1 = 0
4 + -9p + 5p2 = 0 + 7p + -7p
4 + -9p + 5p2 = 7p + -7p

Combine like terms: 7p + -7p = 0
4 + -9p + 5p2 = 0

Factor a trinomial.
(4 + -5p)(1 + -1p) = 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 '(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 = {0.8, 1}