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Simplifying (v + -8) * x(v + 3) = 0 Reorder the terms: (-8 + v) * x(v + 3) = 0 Reorder the terms: (-8 + v) * x(3 + v) = 0 Reorder the terms for easier multiplication: x(-8 + v)(3 + v) = 0 Multiply (-8 + v) * (3 + v) x(-8(3 + v) + v(3 + v)) = 0 x((3 * -8 + v * -8) + v(3 + v)) = 0 x((-24 + -8v) + v(3 + v)) = 0 x(-24 + -8v + (3 * v + v * v)) = 0 x(-24 + -8v + (3v + v2)) = 0 Combine like terms: -8v + 3v = -5v x(-24 + -5v + v2) = 0 (-24 * x + -5v * x + v2 * x) = 0 Reorder the terms: (-5vx + v2x + -24x) = 0 (-5vx + v2x + -24x) = 0 Solving -5vx + v2x + -24x = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5v + v2 + -24) = 0 Factor a trinomial. x((v + -8)(v + 3)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing v to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(v + -8)' equal to zero and attempt to solve: Simplifying v + -8 = 0 Reorder the terms: -8 + v = 0 Solving -8 + v = 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 + v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + v = 0 + 8 v = 0 + 8 Combine like terms: 0 + 8 = 8 v = 8 Simplifying v = 8Subproblem 3
Set the factor '(v + 3)' equal to zero and attempt to solve: Simplifying v + 3 = 0 Reorder the terms: 3 + v = 0 Solving 3 + v = 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 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {8, -3}
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