7p^2-52p+5=-8p-7

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Solution for 7p^2-52p+5=-8p-7 equation: 


Simplifying
7p2 + -52p + 5 = -8p + -7

Reorder the terms:
5 + -52p + 7p2 = -8p + -7

Reorder the terms:
5 + -52p + 7p2 = -7 + -8p

Solving
5 + -52p + 7p2 = -7 + -8p

Solving for variable 'p'.

Reorder the terms:
5 + 7 + -52p + 8p + 7p2 = -7 + -8p + 7 + 8p

Combine like terms: 5 + 7 = 12
12 + -52p + 8p + 7p2 = -7 + -8p + 7 + 8p

Combine like terms: -52p + 8p = -44p
12 + -44p + 7p2 = -7 + -8p + 7 + 8p

Reorder the terms:
12 + -44p + 7p2 = -7 + 7 + -8p + 8p

Combine like terms: -7 + 7 = 0
12 + -44p + 7p2 = 0 + -8p + 8p
12 + -44p + 7p2 = -8p + 8p

Combine like terms: -8p + 8p = 0
12 + -44p + 7p2 = 0

Factor a trinomial.
(2 + -7p)(6 + -1p) = 0


Subproblem 1
Set the factor '(2 + -7p)' equal to zero and attempt to solve:

Simplifying
2 + -7p = 0

Solving
2 + -7p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -7p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7p = 0 + -2
-7p = 0 + -2

Combine like terms: 0 + -2 = -2
-7p = -2

Divide each side by '-7'.
p = 0.2857142857

Simplifying
p = 0.2857142857

Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve:

Simplifying
6 + -1p = 0

Solving
6 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 0 + -6
-1p = 0 + -6

Combine like terms: 0 + -6 = -6
-1p = -6

Divide each side by '-1'.
p = 6

Simplifying
p = 6
Solution
p = {0.2857142857, 6}

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