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Simplifying factorize(n + 2)(2n + 5) = 0 Reorder the terms: acefiortz(2 + n)(2n + 5) = 0 Reorder the terms: acefiortz(2 + n)(5 + 2n) = 0 Multiply (2 + n) * (5 + 2n) acefiortz(2(5 + 2n) + n(5 + 2n)) = 0 acefiortz((5 * 2 + 2n * 2) + n(5 + 2n)) = 0 acefiortz((10 + 4n) + n(5 + 2n)) = 0 acefiortz(10 + 4n + (5 * n + 2n * n)) = 0 acefiortz(10 + 4n + (5n + 2n2)) = 0 Combine like terms: 4n + 5n = 9n acefiortz(10 + 9n + 2n2) = 0 (10 * acefiortz + 9n * acefiortz + 2n2 * acefiortz) = 0 Reorder the terms: (9acefinortz + 2acefin2ortz + 10acefiortz) = 0 (9acefinortz + 2acefin2ortz + 10acefiortz) = 0 Solving 9acefinortz + 2acefin2ortz + 10acefiortz = 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), 'acefiortz'. acefiortz(9n + 2n2 + 10) = 0 Factor a trinomial. acefiortz((n + 2)(2n + 5)) = 0Subproblem 1
Set the factor 'acefiortz' equal to zero and attempt to solve: Simplifying acefiortz = 0 Solving acefiortz = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acefiortz = 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 '(n + 2)' equal to zero and attempt to solve: Simplifying n + 2 = 0 Reorder the terms: 2 + n = 0 Solving 2 + n = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Add '-1n' to each side of the equation. n + -1n = -2 + -1n Combine like terms: n + -1n = 0 0 = -2 + -1n Simplifying 0 = -2 + -1n 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 '(2n + 5)' equal to zero and attempt to solve: Simplifying 2n + 5 = 0 Reorder the terms: 5 + 2n = 0 Solving 5 + 2n = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2n = 0 + -5 2n = 0 + -5 Combine like terms: 0 + -5 = -5 2n = -5 Add '-2n' to each side of the equation. 2n + -2n = -5 + -2n Combine like terms: 2n + -2n = 0 0 = -5 + -2n Simplifying 0 = -5 + -2n 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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