4P^2-3P=-1

Solution for 4P^2-3P=-1 equation:

Simplifying
4P2 + -3P = -1

Reorder the terms:
-3P + 4P2 = -1

Solving
-3P + 4P2 = -1

Solving for variable 'P'.

Reorder the terms:
1 + -3P + 4P2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -3P + 4P2 = 0

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

Divide each side by '4'.
0.25 + -0.75P + P2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.75P + -0.25 + P2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.75P + P2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.75P + P2 = 0 + -0.25
-0.75P + P2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.75P + P2 = -0.25

The P term is -0.75P.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75P + 0.140625 + P2 = -0.25 + 0.140625

Reorder the terms:
0.140625 + -0.75P + P2 = -0.25 + 0.140625

Combine like terms: -0.25 + 0.140625 = -0.109375
0.140625 + -0.75P + P2 = -0.109375

Factor a perfect square on the left side:
(P + -0.375)(P + -0.375) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.