7p^2+4=-8p

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Solution for 7p^2+4=-8p equation:


Simplifying
7p2 + 4 = -8p

Reorder the terms:
4 + 7p2 = -8p

Solving
4 + 7p2 = -8p

Solving for variable 'p'.

Reorder the terms:
4 + 8p + 7p2 = -8p + 8p

Combine like terms: -8p + 8p = 0
4 + 8p + 7p2 = 0

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

Divide each side by '7'.
0.5714285714 + 1.142857143p + p2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + 1.142857143p + -0.5714285714 + p2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + 1.142857143p + p2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + 1.142857143p + p2 = 0 + -0.5714285714
1.142857143p + p2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
1.142857143p + p2 = -0.5714285714

The p term is 1.142857143p.  Take half its coefficient (0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
1.142857143p + 0.3265306123 + p2 = -0.5714285714 + 0.3265306123

Reorder the terms:
0.3265306123 + 1.142857143p + p2 = -0.5714285714 + 0.3265306123

Combine like terms: -0.5714285714 + 0.3265306123 = -0.2448979591
0.3265306123 + 1.142857143p + p2 = -0.2448979591

Factor a perfect square on the left side:
(p + 0.5714285715)(p + 0.5714285715) = -0.2448979591

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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