6a^2+8ab=0

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Solution for 6a^2+8ab=0 equation:


Simplifying
6a2 + 8ab = 0

Reorder the terms:
8ab + 6a2 = 0

Solving
8ab + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4b + 3a) = 0

Ignore the factor 2.

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 '(4b + 3a)' equal to zero and attempt to solve: Simplifying 4b + 3a = 0 Reorder the terms: 3a + 4b = 0 Solving 3a + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 3a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 3a + 0 = 0 + -4b 3a = 0 + -4b Remove the zero: 3a = -4b Divide each side by '3'. a = -1.333333333b Simplifying a = -1.333333333b

Solution

a = {0, -1.333333333b}

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