-40p=2(4p)(-5q)

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Solution for -40p=2(4p)(-5q) equation: 


Simplifying
-40p = 2(4p)(-5q)

Remove parenthesis around (4p)
-40p = 2 * 4p(-5q)

Remove parenthesis around (-5q)
-40p = 2 * 4p * -5q

Reorder the terms for easier multiplication:
-40p = 2 * 4 * -5p * q

Multiply 2 * 4
-40p = 8 * -5p * q

Multiply 8 * -5
-40p = -40p * q

Multiply p * q
-40p = -40pq

Solving
-40p = -40pq

Solving for variable 'p'.

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

Add '40pq' to each side of the equation.
-40p + 40pq = -40pq + 40pq

Combine like terms: -40pq + 40pq = 0
-40p + 40pq = 0

Factor out the Greatest Common Factor (GCF), '40p'.
40p(-1 + q) = 0

Ignore the factor 40.

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

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

Simplifying
-1 + q = 0

Solving
-1 + q = 0

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

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

Combine like terms: -1 + 1 = 0
0 + q = 0 + 1
q = 0 + 1

Combine like terms: 0 + 1 = 1
q = 1

Add '-1q' to each side of the equation.
q + -1q = 1 + -1q

Combine like terms: q + -1q = 0
0 = 1 + -1q

Simplifying
0 = 1 + -1q

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}

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