10p^2+5p=-3

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Solution for 10p^2+5p=-3 equation:


Simplifying
10p2 + 5p = -3

Reorder the terms:
5p + 10p2 = -3

Solving
5p + 10p2 = -3

Solving for variable 'p'.

Reorder the terms:
3 + 5p + 10p2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 5p + 10p2 = 0

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

Divide each side by '10'.
0.3 + 0.5p + p2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + 0.5p + -0.3 + p2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + 0.5p + p2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.5p + p2 = 0 + -0.3
0.5p + p2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
0.5p + p2 = -0.3

The p term is 0.5p.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5p + 0.0625 + p2 = -0.3 + 0.0625

Reorder the terms:
0.0625 + 0.5p + p2 = -0.3 + 0.0625

Combine like terms: -0.3 + 0.0625 = -0.2375
0.0625 + 0.5p + p2 = -0.2375

Factor a perfect square on the left side:
(p + 0.25)(p + 0.25) = -0.2375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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