25p^2-5p+12=0

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Solution for 25p^2-5p+12=0 equation:


Simplifying
25p2 + -5p + 12 = 0

Reorder the terms:
12 + -5p + 25p2 = 0

Solving
12 + -5p + 25p2 = 0

Solving for variable 'p'.

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

Divide each side by '25'.
0.48 + -0.2p + p2 = 0

Move the constant term to the right:

Add '-0.48' to each side of the equation.
0.48 + -0.2p + -0.48 + p2 = 0 + -0.48

Reorder the terms:
0.48 + -0.48 + -0.2p + p2 = 0 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + -0.2p + p2 = 0 + -0.48
-0.2p + p2 = 0 + -0.48

Combine like terms: 0 + -0.48 = -0.48
-0.2p + p2 = -0.48

The p term is -0.2p.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2p + 0.01 + p2 = -0.48 + 0.01

Reorder the terms:
0.01 + -0.2p + p2 = -0.48 + 0.01

Combine like terms: -0.48 + 0.01 = -0.47
0.01 + -0.2p + p2 = -0.47

Factor a perfect square on the left side:
(p + -0.1)(p + -0.1) = -0.47

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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