(v+10)(v-12)=0

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Solution for (v+10)(v-12)=0 equation:


Simplifying
(v + 10)(v + -12) = 0

Reorder the terms:
(10 + v)(v + -12) = 0

Reorder the terms:
(10 + v)(-12 + v) = 0

Multiply (10 + v) * (-12 + v)
(10(-12 + v) + v(-12 + v)) = 0
((-12 * 10 + v * 10) + v(-12 + v)) = 0
((-120 + 10v) + v(-12 + v)) = 0
(-120 + 10v + (-12 * v + v * v)) = 0
(-120 + 10v + (-12v + v2)) = 0

Combine like terms: 10v + -12v = -2v
(-120 + -2v + v2) = 0

Solving
-120 + -2v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-10 + -1v)(12 + -1v) = 0

Subproblem 1

Set the factor '(-10 + -1v)' equal to zero and attempt to solve: Simplifying -10 + -1v = 0 Solving -10 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1v = 0 + 10 -1v = 0 + 10 Combine like terms: 0 + 10 = 10 -1v = 10 Divide each side by '-1'. v = -10 Simplifying v = -10

Subproblem 2

Set the factor '(12 + -1v)' equal to zero and attempt to solve: Simplifying 12 + -1v = 0 Solving 12 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1v = 0 + -12 -1v = 0 + -12 Combine like terms: 0 + -12 = -12 -1v = -12 Divide each side by '-1'. v = 12 Simplifying v = 12

Solution

v = {-10, 12}

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