7a^3b^5-42a^2b^6=0

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Solution for 7a^3b^5-42a^2b^6=0 equation:


Simplifying
7a3b5 + -42a2b6 = 0

Reorder the terms:
-42a2b6 + 7a3b5 = 0

Solving
-42a2b6 + 7a3b5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '7a2b5'.
7a2b5(-6b + a) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'a2b5' equal to zero and attempt to solve: Simplifying a2b5 = 0 Solving a2b5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b5 = 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 '(-6b + a)' equal to zero and attempt to solve: Simplifying -6b + a = 0 Reorder the terms: a + -6b = 0 Solving a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 a + 0 = 0 + 6b a = 0 + 6b Remove the zero: a = 6b Simplifying a = 6b

Solution

a = {6b}

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