(5v-8)(5v-8)=0

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Solution for (5v-8)(5v-8)=0 equation:


Simplifying
(5v + -8)(5v + -8) = 0

Reorder the terms:
(-8 + 5v)(5v + -8) = 0

Reorder the terms:
(-8 + 5v)(-8 + 5v) = 0

Multiply (-8 + 5v) * (-8 + 5v)
(-8(-8 + 5v) + 5v * (-8 + 5v)) = 0
((-8 * -8 + 5v * -8) + 5v * (-8 + 5v)) = 0
((64 + -40v) + 5v * (-8 + 5v)) = 0
(64 + -40v + (-8 * 5v + 5v * 5v)) = 0
(64 + -40v + (-40v + 25v2)) = 0

Combine like terms: -40v + -40v = -80v
(64 + -80v + 25v2) = 0

Solving
64 + -80v + 25v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + -5v)(8 + -5v) = 0

Subproblem 1

Set the factor '(8 + -5v)' equal to zero and attempt to solve: Simplifying 8 + -5v = 0 Solving 8 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 0 + -8 -5v = 0 + -8 Combine like terms: 0 + -8 = -8 -5v = -8 Divide each side by '-5'. v = 1.6 Simplifying v = 1.6

Subproblem 2

Set the factor '(8 + -5v)' equal to zero and attempt to solve: Simplifying 8 + -5v = 0 Solving 8 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 0 + -8 -5v = 0 + -8 Combine like terms: 0 + -8 = -8 -5v = -8 Divide each side by '-5'. v = 1.6 Simplifying v = 1.6

Solution

v = {1.6, 1.6}

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