v(v-3)=28

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Solution for v(v-3)=28 equation:


Simplifying
v(v + -3) = 28

Reorder the terms:
v(-3 + v) = 28
(-3 * v + v * v) = 28
(-3v + v2) = 28

Solving
-3v + v2 = 28

Solving for variable 'v'.

Reorder the terms:
-28 + -3v + v2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + -3v + v2 = 0

Factor a trinomial.
(-4 + -1v)(7 + -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 '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7

Solution

v = {-4, 7}

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