10a^3b-6a^2b^2+2a^2b=0

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Solution for 10a^3b-6a^2b^2+2a^2b=0 equation:


Simplifying
10a3b + -6a2b2 + 2a2b = 0

Reorder the terms:
2a2b + -6a2b2 + 10a3b = 0

Solving
2a2b + -6a2b2 + 10a3b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a2b'.
2a2b(1 + -3b + 5a) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(1 + -3b + 5a)' equal to zero and attempt to solve: Simplifying 1 + -3b + 5a = 0 Reorder the terms: 1 + 5a + -3b = 0 Solving 1 + 5a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5a + -1 + -3b = 0 + -1 Reorder the terms: 1 + -1 + 5a + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + -3b = 0 + -1 5a + -3b = 0 + -1 Combine like terms: 0 + -1 = -1 5a + -3b = -1 Add '3b' to each side of the equation. 5a + -3b + 3b = -1 + 3b Combine like terms: -3b + 3b = 0 5a + 0 = -1 + 3b 5a = -1 + 3b Divide each side by '5'. a = -0.2 + 0.6b Simplifying a = -0.2 + 0.6b

Solution

a = {-0.2 + 0.6b}

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