(v-6)(v+3)=

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Solution for (v-6)(v+3)= equation:


Simplifying
(v + -6)(v + 3) = 0

Reorder the terms:
(-6 + v)(v + 3) = 0

Reorder the terms:
(-6 + v)(3 + v) = 0

Multiply (-6 + v) * (3 + v)
(-6(3 + v) + v(3 + v)) = 0
((3 * -6 + v * -6) + v(3 + v)) = 0
((-18 + -6v) + v(3 + v)) = 0
(-18 + -6v + (3 * v + v * v)) = 0
(-18 + -6v + (3v + v2)) = 0

Combine like terms: -6v + 3v = -3v
(-18 + -3v + v2) = 0

Solving
-18 + -3v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(6 + -1v) = 0

Subproblem 1

Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3

Subproblem 2

Set the factor '(6 + -1v)' equal to zero and attempt to solve: Simplifying 6 + -1v = 0 Solving 6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6

Solution

v = {-3, 6}

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