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Simplifying equation(3n + 7)(4n + -1) = 0 Reorder the terms: aeinoqtu(7 + 3n)(4n + -1) = 0 Reorder the terms: aeinoqtu(7 + 3n)(-1 + 4n) = 0 Multiply (7 + 3n) * (-1 + 4n) aeinoqtu(7(-1 + 4n) + 3n * (-1 + 4n)) = 0 aeinoqtu((-1 * 7 + 4n * 7) + 3n * (-1 + 4n)) = 0 aeinoqtu((-7 + 28n) + 3n * (-1 + 4n)) = 0 aeinoqtu(-7 + 28n + (-1 * 3n + 4n * 3n)) = 0 aeinoqtu(-7 + 28n + (-3n + 12n2)) = 0 Combine like terms: 28n + -3n = 25n aeinoqtu(-7 + 25n + 12n2) = 0 (-7 * aeinoqtu + 25n * aeinoqtu + 12n2 * aeinoqtu) = 0 (-7aeinoqtu + 25aein2oqtu + 12aein3oqtu) = 0 Solving -7aeinoqtu + 25aein2oqtu + 12aein3oqtu = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'aeinoqtu'. aeinoqtu(-7 + 25n + 12n2) = 0 Factor a trinomial. aeinoqtu((-7 + -3n)(1 + -4n)) = 0Subproblem 1
Set the factor 'aeinoqtu' equal to zero and attempt to solve: Simplifying aeinoqtu = 0 Solving aeinoqtu = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aeinoqtu = 0 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 '(-7 + -3n)' equal to zero and attempt to solve: Simplifying -7 + -3n = 0 Solving -7 + -3n = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3n = 0 + 7 -3n = 0 + 7 Combine like terms: 0 + 7 = 7 -3n = 7 Add '3n' to each side of the equation. -3n + 3n = 7 + 3n Combine like terms: -3n + 3n = 0 0 = 7 + 3n Simplifying 0 = 7 + 3n 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 '(1 + -4n)' equal to zero and attempt to solve: Simplifying 1 + -4n = 0 Solving 1 + -4n = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = 0 + -1 -4n = 0 + -1 Combine like terms: 0 + -1 = -1 -4n = -1 Add '4n' to each side of the equation. -4n + 4n = -1 + 4n Combine like terms: -4n + 4n = 0 0 = -1 + 4n Simplifying 0 = -1 + 4n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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