48*a*a-94ab-4b*b=

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Solution for 48*a*a-94ab-4b*b= equation: 


Simplifying
48a * a + -94ab + -4b * b = 0

Multiply a * a
48a2 + -94ab + -4b * b = 0

Multiply b * b
48a2 + -94ab + -4b2 = 0

Reorder the terms:
-94ab + 48a2 + -4b2 = 0

Solving
-94ab + 48a2 + -4b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-47ab + 24a2 + -2b2) = 0

Factor a trinomial.
2((a + -2b)(24a + b)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(a + -2b)' equal to zero and attempt to solve:

Simplifying
a + -2b = 0

Solving
a + -2b = 0

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

Add '2b' to each side of the equation.
a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
a + 0 = 0 + 2b
a = 0 + 2b
Remove the zero:
a = 2b

Simplifying
a = 2b

Subproblem 2
Set the factor '(24a + b)' equal to zero and attempt to solve:

Simplifying
24a + b = 0

Solving
24a + b = 0

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

Add '-1b' to each side of the equation.
24a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
24a + 0 = 0 + -1b
24a = 0 + -1b
Remove the zero:
24a = -1b

Divide each side by '24'.
a = -0.04166666667b

Simplifying
a = -0.04166666667b
Solution
a = {2b, -0.04166666667b}

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