(3a^2)(4a^6)=12a

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Solution for (3a^2)(4a^6)=12a equation:


Simplifying
(3a2)(4a6) = 12a

Remove parenthesis around (3a2)
3a2(4a6) = 12a

Remove parenthesis around (4a6)
3a2 * 4a6 = 12a

Reorder the terms for easier multiplication:
3 * 4a2 * a6 = 12a

Multiply 3 * 4
12a2 * a6 = 12a

Multiply a2 * a6
12a8 = 12a

Solving
12a8 = 12a

Solving for variable 'a'.

Reorder the terms:
-12a + 12a8 = 12a + -12a

Combine like terms: 12a + -12a = 0
-12a + 12a8 = 0

Factor out the Greatest Common Factor (GCF), '12a'.
12a(-1 + a7) = 0

Ignore the factor 12.

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 '(-1 + a7)' equal to zero and attempt to solve: Simplifying -1 + a7 = 0 Solving -1 + a7 = 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 + a7 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a7 = 0 + 1 a7 = 0 + 1 Combine like terms: 0 + 1 = 1 a7 = 1 Simplifying a7 = 1 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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