(4v+5)(4v-5)=

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Solution for (4v+5)(4v-5)= equation:


Simplifying
(4v + 5)(4v + -5) = 0

Reorder the terms:
(5 + 4v)(4v + -5) = 0

Reorder the terms:
(5 + 4v)(-5 + 4v) = 0

Multiply (5 + 4v) * (-5 + 4v)
(5(-5 + 4v) + 4v * (-5 + 4v)) = 0
((-5 * 5 + 4v * 5) + 4v * (-5 + 4v)) = 0
((-25 + 20v) + 4v * (-5 + 4v)) = 0
(-25 + 20v + (-5 * 4v + 4v * 4v)) = 0
(-25 + 20v + (-20v + 16v2)) = 0

Combine like terms: 20v + -20v = 0
(-25 + 0 + 16v2) = 0
(-25 + 16v2) = 0

Solving
-25 + 16v2 = 0

Solving for variable 'v'.

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

Add '25' to each side of the equation.
-25 + 25 + 16v2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 16v2 = 0 + 25
16v2 = 0 + 25

Combine like terms: 0 + 25 = 25
16v2 = 25

Divide each side by '16'.
v2 = 1.5625

Simplifying
v2 = 1.5625

Take the square root of each side:
v = {-1.25, 1.25}

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