8a^2-6ab^2=0

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


Simplifying
8a2 + -6ab2 = 0

Reorder the terms:
-6ab2 + 8a2 = 0

Solving
-6ab2 + 8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-3b2 + 4a) = 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 '(-3b2 + 4a)' equal to zero and attempt to solve:

Simplifying
-3b2 + 4a = 0

Reorder the terms:
4a + -3b2 = 0

Solving
4a + -3b2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '3b2' to each side of the equation.
4a + -3b2 + 3b2 = 0 + 3b2

Combine like terms: -3b2 + 3b2 = 0
4a + 0 = 0 + 3b2
4a = 0 + 3b2
Remove the zero:
4a = 3b2

Divide each side by '4'.
a = 0.75b2

Simplifying
a = 0.75b2
Solution
a = {0, 0.75b2}

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