6p^2-8p=-3

Solution for 6p^2-8p=-3 equation:

Simplifying
6p2 + -8p = -3

Reorder the terms:
-8p + 6p2 = -3

Solving
-8p + 6p2 = -3

Solving for variable 'p'.

Reorder the terms:
3 + -8p + 6p2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -8p + 6p2 = 0

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

Divide each side by '6'.
0.5 + -1.333333333p + p2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -1.333333333p + -0.5 + p2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -1.333333333p + p2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.333333333p + p2 = 0 + -0.5
-1.333333333p + p2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-1.333333333p + p2 = -0.5

The p term is -1.333333333p.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333p + 0.4444444442 + p2 = -0.5 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333p + p2 = -0.5 + 0.4444444442

Combine like terms: -0.5 + 0.4444444442 = -0.0555555558
0.4444444442 + -1.333333333p + p2 = -0.0555555558

Factor a perfect square on the left side:
(p + -0.6666666665)(p + -0.6666666665) = -0.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.