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Simplifying
(5v + 4)(5v + -4) = 0
Reorder the terms:
(4 + 5v)(5v + -4) = 0
Reorder the terms:
(4 + 5v)(-4 + 5v) = 0
Multiply (4 + 5v) * (-4 + 5v)
(4(-4 + 5v) + 5v * (-4 + 5v)) = 0
((-4 * 4 + 5v * 4) + 5v * (-4 + 5v)) = 0
((-16 + 20v) + 5v * (-4 + 5v)) = 0
(-16 + 20v + (-4 * 5v + 5v * 5v)) = 0
(-16 + 20v + (-20v + 25v2)) = 0
Combine like terms: 20v + -20v = 0
(-16 + 0 + 25v2) = 0
(-16 + 25v2) = 0
Solving
-16 + 25v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 25v2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 25v2 = 0 + 16
25v2 = 0 + 16
Combine like terms: 0 + 16 = 16
25v2 = 16
Divide each side by '25'.
v2 = 0.64
Simplifying
v2 = 0.64
Take the square root of each side:
v = {-0.8, 0.8}
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