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Simplifying
(5v + 3p)(5v + -3p) = 0
Reorder the terms:
(3p + 5v)(5v + -3p) = 0
Reorder the terms:
(3p + 5v)(-3p + 5v) = 0
Multiply (3p + 5v) * (-3p + 5v)
(3p * (-3p + 5v) + 5v * (-3p + 5v)) = 0
((-3p * 3p + 5v * 3p) + 5v * (-3p + 5v)) = 0
Reorder the terms:
((15pv + -9p2) + 5v * (-3p + 5v)) = 0
((15pv + -9p2) + 5v * (-3p + 5v)) = 0
(15pv + -9p2 + (-3p * 5v + 5v * 5v)) = 0
(15pv + -9p2 + (-15pv + 25v2)) = 0
Reorder the terms:
(15pv + -15pv + -9p2 + 25v2) = 0
Combine like terms: 15pv + -15pv = 0
(0 + -9p2 + 25v2) = 0
(-9p2 + 25v2) = 0
Solving
-9p2 + 25v2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-25v2' to each side of the equation.
-9p2 + 25v2 + -25v2 = 0 + -25v2
Combine like terms: 25v2 + -25v2 = 0
-9p2 + 0 = 0 + -25v2
-9p2 = 0 + -25v2
Remove the zero:
-9p2 = -25v2
Divide each side by '-9'.
p2 = 2.777777778v2
Simplifying
p2 = 2.777777778v2
Take the square root of each side:
p = {-1.666666667v, 1.666666667v}
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