-4p^2+6p=5

Solution for -4p^2+6p=5 equation:

Simplifying
-4p2 + 6p = 5

Reorder the terms:
6p + -4p2 = 5

Solving
6p + -4p2 = 5

Solving for variable 'p'.

Reorder the terms:
-5 + 6p + -4p2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 6p + -4p2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.25 + -1.5p + p2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -1.5p + -1.25 + p2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -1.5p + p2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -1.5p + p2 = 0 + -1.25
-1.5p + p2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-1.5p + p2 = -1.25

The p term is -1.5p.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5p + 0.5625 + p2 = -1.25 + 0.5625

Reorder the terms:
0.5625 + -1.5p + p2 = -1.25 + 0.5625

Combine like terms: -1.25 + 0.5625 = -0.6875
0.5625 + -1.5p + p2 = -0.6875

Factor a perfect square on the left side:
(p + -0.75)(p + -0.75) = -0.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.