20p^2-16p^2q^2=0

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Solution for 20p^2-16p^2q^2=0 equation:


Simplifying
20p2 + -16p2q2 = 0

Solving
20p2 + -16p2q2 = 0

Solving for variable 'p'.

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

Factor out the Greatest Common Factor (GCF), '4p2'.
4p2(5 + -4q2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}

Subproblem 2

Set the factor '(5 + -4q2)' equal to zero and attempt to solve: Simplifying 5 + -4q2 = 0 Solving 5 + -4q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4q2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4q2 = 0 + -5 -4q2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4q2 = -5 Add '4q2' to each side of the equation. -4q2 + 4q2 = -5 + 4q2 Combine like terms: -4q2 + 4q2 = 0 0 = -5 + 4q2 Simplifying 0 = -5 + 4q2 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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