4p^2-9p+11=p^2-5p+4

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Solution for 4p^2-9p+11=p^2-5p+4 equation: 


Simplifying
4p2 + -9p + 11 = p2 + -5p + 4

Reorder the terms:
11 + -9p + 4p2 = p2 + -5p + 4

Reorder the terms:
11 + -9p + 4p2 = 4 + -5p + p2

Solving
11 + -9p + 4p2 = 4 + -5p + p2

Solving for variable 'p'.

Reorder the terms:
11 + -4 + -9p + 5p + 4p2 + -1p2 = 4 + -5p + p2 + -4 + 5p + -1p2

Combine like terms: 11 + -4 = 7
7 + -9p + 5p + 4p2 + -1p2 = 4 + -5p + p2 + -4 + 5p + -1p2

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

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

Reorder the terms:
7 + -4p + 3p2 = 4 + -4 + -5p + 5p + p2 + -1p2

Combine like terms: 4 + -4 = 0
7 + -4p + 3p2 = 0 + -5p + 5p + p2 + -1p2
7 + -4p + 3p2 = -5p + 5p + p2 + -1p2

Combine like terms: -5p + 5p = 0
7 + -4p + 3p2 = 0 + p2 + -1p2
7 + -4p + 3p2 = p2 + -1p2

Combine like terms: p2 + -1p2 = 0
7 + -4p + 3p2 = 0

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

Divide each side by '3'.
2.333333333 + -1.333333333p + p2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1.333333333p + -2.333333333 + p2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1.333333333p + p2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1.333333333p + p2 = 0 + -2.333333333
-1.333333333p + p2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1.333333333p + p2 = -2.333333333

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 = -2.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333p + p2 = -2.333333333 + 0.4444444442

Combine like terms: -2.333333333 + 0.4444444442 = -1.8888888888
0.4444444442 + -1.333333333p + p2 = -1.8888888888

Factor a perfect square on the left side:
(p + -0.6666666665)(p + -0.6666666665) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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