49a^2-100p^2=

Solution for 49a^2-100p^2= equation:

Simplifying
49a2 + -100p2 = 0

Solving
49a2 + -100p2 = 0

Solving for variable 'a'.

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

Add '100p2' to each side of the equation.
49a2 + -100p2 + 100p2 = 0 + 100p2

Combine like terms: -100p2 + 100p2 = 0
49a2 + 0 = 0 + 100p2
49a2 = 0 + 100p2
Remove the zero:
49a2 = 100p2

Divide each side by '49'.
a2 = 2.040816327p2

Simplifying
a2 = 2.040816327p2

Take the square root of each side:
a = {-1.428571429p, 1.428571429p}