-1.5f^2=1.5fp-p^2

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Solution for -1.5f^2=1.5fp-p^2 equation: 


Simplifying
-1.5f2 = 1.5fp + -1p2

Solving
-1.5f2 = 1.5fp + -1p2

Solving for variable 'f'.

Reorder the terms:
-1.5fp + -1.5f2 + p2 = 1.5fp + -1p2 + -1.5fp + p2

Reorder the terms:
-1.5fp + -1.5f2 + p2 = 1.5fp + -1.5fp + -1p2 + p2

Combine like terms: 1.5fp + -1.5fp = 0.0
-1.5fp + -1.5f2 + p2 = 0.0 + -1p2 + p2
-1.5fp + -1.5f2 + p2 = -1p2 + p2

Combine like terms: -1p2 + p2 = 0
-1.5fp + -1.5f2 + p2 = 0

Begin completing the square.  Divide all terms by
-1.5 the coefficient of the squared term: 

Divide each side by '-1.5'.
fp + f2 + -0.6666666667p2 = 0

Move the constant term to the right:

Add '-1p2' to each side of the equation.
fp + f2 + -0.6666666667p2 + -1p2 = 0 + -1p2

Combine like terms: -0.6666666667p2 + -1p2 = -1.6666666667p2
fp + f2 + -1.6666666667p2 = 0 + -1p2
Remove the zero:
fp + f2 + -1.6666666667p2 = -1p2

The f term is fp.  Take half its coefficient (0.5p).
Square it (0.25p2) and add it to both sides.

Add '0.25p2' to each side of the equation.
p2 + f2 + -1.6666666667p2 + 0.25p2 = -1p2 + 0.25p2

Reorder the terms:
f2 + p2 + -1.6666666667p2 + 0.25p2 = -1p2 + 0.25p2

Combine like terms: p2 + -1.6666666667p2 = -0.6666666667p2
f2 + -0.6666666667p2 + 0.25p2 = -1p2 + 0.25p2

Combine like terms: -0.6666666667p2 + 0.25p2 = -0.4166666667p2
f2 + -0.4166666667p2 = -1p2 + 0.25p2

Combine like terms: -1p2 + 0.25p2 = -0.75p2
f2 + -0.4166666667p2 = -0.75p2

Factor a perfect square on the left side:
(f + 0.5p)(f + 0.5p) = -0.75p2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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