3p^2-4p-2=-7

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Solution for 3p^2-4p-2=-7 equation: 


Simplifying
3p2 + -4p + -2 = -7

Reorder the terms:
-2 + -4p + 3p2 = -7

Solving
-2 + -4p + 3p2 = -7

Solving for variable 'p'.

Reorder the terms:
-2 + 7 + -4p + 3p2 = -7 + 7

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

Combine like terms: -7 + 7 = 0
5 + -4p + 3p2 = 0

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

Divide each side by '3'.
1.666666667 + -1.333333333p + p2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.333333333p + -1.666666667 + p2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1.333333333p + p2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1.333333333p + p2 = 0 + -1.666666667
-1.333333333p + p2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1.333333333p + p2 = -1.666666667

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 = -1.666666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333p + p2 = -1.666666667 + 0.4444444442

Combine like terms: -1.666666667 + 0.4444444442 = -1.2222222228
0.4444444442 + -1.333333333p + p2 = -1.2222222228

Factor a perfect square on the left side:
(p + -0.6666666665)(p + -0.6666666665) = -1.2222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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