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Simplifying (F)(n + -4)(n + 3) = 0 Reorder the terms: F(-4 + n)(n + 3) = 0 Reorder the terms: F(-4 + n)(3 + n) = 0 Multiply (-4 + n) * (3 + n) F(-4(3 + n) + n(3 + n)) = 0 F((3 * -4 + n * -4) + n(3 + n)) = 0 F((-12 + -4n) + n(3 + n)) = 0 F(-12 + -4n + (3 * n + n * n)) = 0 F(-12 + -4n + (3n + n2)) = 0 Combine like terms: -4n + 3n = -1n F(-12 + -1n + n2) = 0 (-12 * F + -1n * F + n2 * F) = 0 (-12F + -1nF + n2F) = 0 Solving -12F + -1nF + n2F = 0 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'F'. F(-12 + -1n + n2) = 0 Factor a trinomial. F((-3 + -1n)(4 + -1n)) = 0Subproblem 1
Set the factor 'F' equal to zero and attempt to solve: Simplifying F = 0 Solving F = 0 Move all terms containing F to the left, all other terms to the right. Simplifying F = 0Subproblem 2
Set the factor '(-3 + -1n)' equal to zero and attempt to solve: Simplifying -3 + -1n = 0 Solving -3 + -1n = 0 Move all terms containing F to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1n = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 0 + 3 -1n = 0 + 3 Combine like terms: 0 + 3 = 3 -1n = 3 Add 'n' to each side of the equation. -1n + n = 3 + n Combine like terms: -1n + n = 0 0 = 3 + n Simplifying 0 = 3 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing F to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Add 'n' to each side of the equation. -1n + n = -4 + n Combine like terms: -1n + n = 0 0 = -4 + n Simplifying 0 = -4 + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
F = {0}
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