-7(7+5p)-p(1+8p)=

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Solution for -7(7+5p)-p(1+8p)= equation: 


Simplifying
-7(7 + 5p) + -1p(1 + 8p) = 0
(7 * -7 + 5p * -7) + -1p(1 + 8p) = 0
(-49 + -35p) + -1p(1 + 8p) = 0
-49 + -35p + (1 * -1p + 8p * -1p) = 0
-49 + -35p + (-1p + -8p2) = 0

Combine like terms: -35p + -1p = -36p
-49 + -36p + -8p2 = 0

Solving
-49 + -36p + -8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(49 + 36p + 8p2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(49 + 36p + 8p2)' equal to zero and attempt to solve:

Simplifying
49 + 36p + 8p2 = 0

Solving
49 + 36p + 8p2 = 0

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

Divide each side by '8'.
6.125 + 4.5p + p2 = 0

Move the constant term to the right:

Add '-6.125' to each side of the equation.
6.125 + 4.5p + -6.125 + p2 = 0 + -6.125

Reorder the terms:
6.125 + -6.125 + 4.5p + p2 = 0 + -6.125

Combine like terms: 6.125 + -6.125 = 0.000
0.000 + 4.5p + p2 = 0 + -6.125
4.5p + p2 = 0 + -6.125

Combine like terms: 0 + -6.125 = -6.125
4.5p + p2 = -6.125

The p term is 4.5p.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5p + 5.0625 + p2 = -6.125 + 5.0625

Reorder the terms:
5.0625 + 4.5p + p2 = -6.125 + 5.0625

Combine like terms: -6.125 + 5.0625 = -1.0625
5.0625 + 4.5p + p2 = -1.0625

Factor a perfect square on the left side:
(p + 2.25)(p + 2.25) = -1.0625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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