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

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


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

Reorder the terms:
2a2 + -2[4b + -4b(4 + b)] = 0
2a2 + -2[4b + (4 * -4b + b * -4b)] = 0
2a2 + -2[4b + (-16b + -4b2)] = 0

Combine like terms: 4b + -16b = -12b
2a2 + -2[-12b + -4b2] = 0
2a2 + [-12b * -2 + -4b2 * -2] = 0
2a2 + [24b + 8b2] = 0

Solving
2a2 + 24b + 8b2 = 0

Solving for variable 'a'.

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

Add '-24b' to each side of the equation.
2a2 + 24b + -24b + 8b2 = 0 + -24b

Combine like terms: 24b + -24b = 0
2a2 + 0 + 8b2 = 0 + -24b
2a2 + 8b2 = 0 + -24b
Remove the zero:
2a2 + 8b2 = -24b

Add '-8b2' to each side of the equation.
2a2 + 8b2 + -8b2 = -24b + -8b2

Combine like terms: 8b2 + -8b2 = 0
2a2 + 0 = -24b + -8b2
2a2 = -24b + -8b2

Divide each side by '2'.
a2 = -12b + -4b2

Simplifying
a2 = -12b + -4b2

Reorder the terms:
a2 + 12b + 4b2 = -12b + 12b + -4b2 + 4b2

Combine like terms: -12b + 12b = 0
a2 + 12b + 4b2 = 0 + -4b2 + 4b2
a2 + 12b + 4b2 = -4b2 + 4b2

Combine like terms: -4b2 + 4b2 = 0
a2 + 12b + 4b2 = 0

The solution to this equation could not be determined.

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