(32p-81)(13p+44)=0

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Solution for (32p-81)(13p+44)=0 equation: 


Simplifying
(32p + -81)(13p + 44) = 0

Reorder the terms:
(-81 + 32p)(13p + 44) = 0

Reorder the terms:
(-81 + 32p)(44 + 13p) = 0

Multiply (-81 + 32p) * (44 + 13p)
(-81(44 + 13p) + 32p * (44 + 13p)) = 0
((44 * -81 + 13p * -81) + 32p * (44 + 13p)) = 0
((-3564 + -1053p) + 32p * (44 + 13p)) = 0
(-3564 + -1053p + (44 * 32p + 13p * 32p)) = 0
(-3564 + -1053p + (1408p + 416p2)) = 0

Combine like terms: -1053p + 1408p = 355p
(-3564 + 355p + 416p2) = 0

Solving
-3564 + 355p + 416p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-44 + -13p)(81 + -32p) = 0


Subproblem 1
Set the factor '(-44 + -13p)' equal to zero and attempt to solve:

Simplifying
-44 + -13p = 0

Solving
-44 + -13p = 0

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

Add '44' to each side of the equation.
-44 + 44 + -13p = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -13p = 0 + 44
-13p = 0 + 44

Combine like terms: 0 + 44 = 44
-13p = 44

Divide each side by '-13'.
p = -3.384615385

Simplifying
p = -3.384615385

Subproblem 2
Set the factor '(81 + -32p)' equal to zero and attempt to solve:

Simplifying
81 + -32p = 0

Solving
81 + -32p = 0

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

Add '-81' to each side of the equation.
81 + -81 + -32p = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -32p = 0 + -81
-32p = 0 + -81

Combine like terms: 0 + -81 = -81
-32p = -81

Divide each side by '-32'.
p = 2.53125

Simplifying
p = 2.53125
Solution
p = {-3.384615385, 2.53125}

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