factor(5n+6)(5n-7)=

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Solution for factor(5n+6)(5n-7)= equation:


Simplifying
factor(5n + 6)(5n + -7) = 0

Reorder the terms:
acfort(6 + 5n)(5n + -7) = 0

Reorder the terms:
acfort(6 + 5n)(-7 + 5n) = 0

Multiply (6 + 5n) * (-7 + 5n)
acfort(6(-7 + 5n) + 5n * (-7 + 5n)) = 0
acfort((-7 * 6 + 5n * 6) + 5n * (-7 + 5n)) = 0
acfort((-42 + 30n) + 5n * (-7 + 5n)) = 0
acfort(-42 + 30n + (-7 * 5n + 5n * 5n)) = 0
acfort(-42 + 30n + (-35n + 25n2)) = 0

Combine like terms: 30n + -35n = -5n
acfort(-42 + -5n + 25n2) = 0
(-42 * acfort + -5n * acfort + 25n2 * acfort) = 0

Reorder the terms:
(-5acfnort + 25acfn2ort + -42acfort) = 0
(-5acfnort + 25acfn2ort + -42acfort) = 0

Solving
-5acfnort + 25acfn2ort + -42acfort = 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), 'acfort'.
acfort(-5n + 25n2 + -42) = 0

Factor a trinomial.
acfort((5n + -7)(5n + 6)) = 0

Subproblem 1

Set the factor 'acfort' equal to zero and attempt to solve: Simplifying acfort = 0 Solving acfort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfort = 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 '(5n + -7)' equal to zero and attempt to solve: Simplifying 5n + -7 = 0 Reorder the terms: -7 + 5n = 0 Solving -7 + 5n = 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 + 5n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5n = 0 + 7 5n = 0 + 7 Combine like terms: 0 + 7 = 7 5n = 7 Add '-5n' to each side of the equation. 5n + -5n = 7 + -5n Combine like terms: 5n + -5n = 0 0 = 7 + -5n Simplifying 0 = 7 + -5n 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 '(5n + 6)' equal to zero and attempt to solve: Simplifying 5n + 6 = 0 Reorder the terms: 6 + 5n = 0 Solving 6 + 5n = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 0 + -6 5n = 0 + -6 Combine like terms: 0 + -6 = -6 5n = -6 Add '-5n' to each side of the equation. 5n + -5n = -6 + -5n Combine like terms: 5n + -5n = 0 0 = -6 + -5n Simplifying 0 = -6 + -5n 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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