8p-(2p+5)p=1.5

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Solution for 8p-(2p+5)p=1.5 equation:


Simplifying
8p + -1(2p + 5) * p = 1.5

Reorder the terms:
8p + -1(5 + 2p) * p = 1.5

Reorder the terms for easier multiplication:
8p + -1p(5 + 2p) = 1.5
8p + (5 * -1p + 2p * -1p) = 1.5
8p + (-5p + -2p2) = 1.5

Combine like terms: 8p + -5p = 3p
3p + -2p2 = 1.5

Solving
3p + -2p2 = 1.5

Solving for variable 'p'.

Reorder the terms:
-1.5 + 3p + -2p2 = 1.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
-1.5 + 3p + -2p2 = 0.0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
0.75 + -1.5p + p2 = 0.0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.5p + -0.75 + p2 = 0.0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.5p + p2 = 0.0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.5p + p2 = 0.0 + -0.75
-1.5p + p2 = 0.0 + -0.75

Combine like terms: 0.0 + -0.75 = -0.75
-1.5p + p2 = -0.75

The p term is -1.5p.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5p + 0.5625 + p2 = -0.75 + 0.5625

Reorder the terms:
0.5625 + -1.5p + p2 = -0.75 + 0.5625

Combine like terms: -0.75 + 0.5625 = -0.1875
0.5625 + -1.5p + p2 = -0.1875

Factor a perfect square on the left side:
(p + -0.75)(p + -0.75) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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