6a^2-4[4b-4b(b+2)]=

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Solution for 6a^2-4[4b-4b(b+2)]= equation: 


Simplifying
6a2 + -4[4b + -4b(b + 2)] = 0

Reorder the terms:
6a2 + -4[4b + -4b(2 + b)] = 0
6a2 + -4[4b + (2 * -4b + b * -4b)] = 0
6a2 + -4[4b + (-8b + -4b2)] = 0

Combine like terms: 4b + -8b = -4b
6a2 + -4[-4b + -4b2] = 0
6a2 + [-4b * -4 + -4b2 * -4] = 0
6a2 + [16b + 16b2] = 0

Solving
6a2 + 16b + 16b2 = 0

Solving for variable 'a'.

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

Add '-16b' to each side of the equation.
6a2 + 16b + -16b + 16b2 = 0 + -16b

Combine like terms: 16b + -16b = 0
6a2 + 0 + 16b2 = 0 + -16b
6a2 + 16b2 = 0 + -16b
Remove the zero:
6a2 + 16b2 = -16b

Add '-16b2' to each side of the equation.
6a2 + 16b2 + -16b2 = -16b + -16b2

Combine like terms: 16b2 + -16b2 = 0
6a2 + 0 = -16b + -16b2
6a2 = -16b + -16b2

Divide each side by '6'.
a2 = -2.666666667b + -2.666666667b2

Simplifying
a2 = -2.666666667b + -2.666666667b2

Reorder the terms:
a2 + 2.666666667b + 2.666666667b2 = -2.666666667b + 2.666666667b + -2.666666667b2 + 2.666666667b2

Combine like terms: -2.666666667b + 2.666666667b = 0.000000000
a2 + 2.666666667b + 2.666666667b2 = 0.000000000 + -2.666666667b2 + 2.666666667b2
a2 + 2.666666667b + 2.666666667b2 = -2.666666667b2 + 2.666666667b2

Combine like terms: -2.666666667b2 + 2.666666667b2 = 0.000000000
a2 + 2.666666667b + 2.666666667b2 = 0.000000000

The solution to this equation could not be determined.

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