5(an)2+6(ab)2-4(ab)2+3(ab)2=

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Solution for 5(an)2+6(ab)2-4(ab)2+3(ab)2= equation:


Simplifying
5(an) * 2 + 6(ab) * 2 + -4(ab) * 2 + 3(ab) * 2 = 0

Reorder the terms for easier multiplication:
5 * 2an + 6(ab) * 2 + -4(ab) * 2 + 3(ab) * 2 = 0

Multiply 5 * 2
10an + 6(ab) * 2 + -4(ab) * 2 + 3(ab) * 2 = 0

Reorder the terms for easier multiplication:
10an + 6 * 2ab + -4(ab) * 2 + 3(ab) * 2 = 0

Multiply 6 * 2
10an + 12ab + -4(ab) * 2 + 3(ab) * 2 = 0

Reorder the terms for easier multiplication:
10an + 12ab + -4 * 2ab + 3(ab) * 2 = 0

Multiply -4 * 2
10an + 12ab + -8ab + 3(ab) * 2 = 0

Reorder the terms for easier multiplication:
10an + 12ab + -8ab + 3 * 2ab = 0

Multiply 3 * 2
10an + 12ab + -8ab + 6ab = 0

Reorder the terms:
12ab + -8ab + 6ab + 10an = 0

Combine like terms: 12ab + -8ab = 4ab
4ab + 6ab + 10an = 0

Combine like terms: 4ab + 6ab = 10ab
10ab + 10an = 0

Solving
10ab + 10an = 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), '10a'.
10a(b + n) = 0

Ignore the factor 10.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(b + n)' equal to zero and attempt to solve: Simplifying b + n = 0 Solving b + n = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b + n = 0 + -1b Combine like terms: b + -1b = 0 0 + n = 0 + -1b n = 0 + -1b Remove the zero: n = -1b Add '-1n' to each side of the equation. n + -1n = -1b + -1n Combine like terms: n + -1n = 0 0 = -1b + -1n Simplifying 0 = -1b + -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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