v(v-4)=32

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Solution for v(v-4)=32 equation:


Simplifying
v(v + -4) = 32

Reorder the terms:
v(-4 + v) = 32
(-4 * v + v * v) = 32
(-4v + v2) = 32

Solving
-4v + v2 = 32

Solving for variable 'v'.

Reorder the terms:
-32 + -4v + v2 = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + -4v + v2 = 0

Factor a trinomial.
(-4 + -1v)(8 + -1v) = 0

Subproblem 1

Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4

Subproblem 2

Set the factor '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8

Solution

v = {-4, 8}

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