3p^2-7p+10=0

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Solution for 3p^2-7p+10=0 equation: 


Simplifying
3p2 + -7p + 10 = 0

Reorder the terms:
10 + -7p + 3p2 = 0

Solving
10 + -7p + 3p2 = 0

Solving for variable 'p'.

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

Divide each side by '3'.
3.333333333 + -2.333333333p + p2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -2.333333333p + -3.333333333 + p2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -2.333333333p + p2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -2.333333333p + p2 = 0 + -3.333333333
-2.333333333p + p2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-2.333333333p + p2 = -3.333333333

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 = -3.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333p + p2 = -3.333333333 + 1.361111112

Combine like terms: -3.333333333 + 1.361111112 = -1.972222221
1.361111112 + -2.333333333p + p2 = -1.972222221

Factor a perfect square on the left side:
(p + -1.166666667)(p + -1.166666667) = -1.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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