8ab^2+10ab-3b^2=0

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Solution for 8ab^2+10ab-3b^2=0 equation:


Simplifying
8ab2 + 10ab + -3b2 = 0

Reorder the terms:
10ab + 8ab2 + -3b2 = 0

Solving
10ab + 8ab2 + -3b2 = 0

Solving for variable 'a'.

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

Add '3b2' to each side of the equation.
10ab + 8ab2 + -3b2 + 3b2 = 0 + 3b2

Combine like terms: -3b2 + 3b2 = 0
10ab + 8ab2 + 0 = 0 + 3b2
10ab + 8ab2 = 0 + 3b2
Remove the zero:
10ab + 8ab2 = 3b2

Combine like terms: 3b2 + -3b2 = 0
10ab + 8ab2 + -3b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(10a + 8ab + -3b) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(10a + 8ab + -3b)' equal to zero and attempt to solve: Simplifying 10a + 8ab + -3b = 0 Solving 10a + 8ab + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 10a + 8ab + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 10a + 8ab + 0 = 0 + 3b 10a + 8ab = 0 + 3b Remove the zero: 10a + 8ab = 3b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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