12=-3p^2+7p+3

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Solution for 12=-3p^2+7p+3 equation:


Simplifying
12 = -3p2 + 7p + 3

Reorder the terms:
12 = 3 + 7p + -3p2

Solving
12 = 3 + 7p + -3p2

Solving for variable 'p'.

Combine like terms: 12 + -3 = 9
9 + -7p + 3p2 = 3 + 7p + -3p2 + -3 + -7p + 3p2

Reorder the terms:
9 + -7p + 3p2 = 3 + -3 + 7p + -7p + -3p2 + 3p2

Combine like terms: 3 + -3 = 0
9 + -7p + 3p2 = 0 + 7p + -7p + -3p2 + 3p2
9 + -7p + 3p2 = 7p + -7p + -3p2 + 3p2

Combine like terms: 7p + -7p = 0
9 + -7p + 3p2 = 0 + -3p2 + 3p2
9 + -7p + 3p2 = -3p2 + 3p2

Combine like terms: -3p2 + 3p2 = 0
9 + -7p + 3p2 = 0

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

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

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2.333333333p + -3 + p2 = 0 + -3

Reorder the terms:
3 + -3 + -2.333333333p + p2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2.333333333p + p2 = 0 + -3
-2.333333333p + p2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2.333333333p + p2 = -3

The p term is -2.333333333p.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333p + 1.361111112 + p2 = -3 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333p + p2 = -3 + 1.361111112

Combine like terms: -3 + 1.361111112 = -1.638888888
1.361111112 + -2.333333333p + p2 = -1.638888888

Factor a perfect square on the left side:
(p + -1.166666667)(p + -1.166666667) = -1.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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