(v+8)(v-15)=0

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Solution for (v+8)(v-15)=0 equation:


Simplifying
(v + 8)(v + -15) = 0

Reorder the terms:
(8 + v)(v + -15) = 0

Reorder the terms:
(8 + v)(-15 + v) = 0

Multiply (8 + v) * (-15 + v)
(8(-15 + v) + v(-15 + v)) = 0
((-15 * 8 + v * 8) + v(-15 + v)) = 0
((-120 + 8v) + v(-15 + v)) = 0
(-120 + 8v + (-15 * v + v * v)) = 0
(-120 + 8v + (-15v + v2)) = 0

Combine like terms: 8v + -15v = -7v
(-120 + -7v + v2) = 0

Solving
-120 + -7v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(15 + -1v) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(15 + -1v)' equal to zero and attempt to solve: Simplifying 15 + -1v = 0 Solving 15 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1v = 0 + -15 -1v = 0 + -15 Combine like terms: 0 + -15 = -15 -1v = -15 Divide each side by '-1'. v = 15 Simplifying v = 15

Solution

v = {-8, 15}

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