6a^2-5[3b-2b(b+4)]=

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Solution for 6a^2-5[3b-2b(b+4)]= equation:


Simplifying
6a2 + -5[3b + -2b(b + 4)] = 0

Reorder the terms:
6a2 + -5[3b + -2b(4 + b)] = 0
6a2 + -5[3b + (4 * -2b + b * -2b)] = 0
6a2 + -5[3b + (-8b + -2b2)] = 0

Combine like terms: 3b + -8b = -5b
6a2 + -5[-5b + -2b2] = 0
6a2 + [-5b * -5 + -2b2 * -5] = 0
6a2 + [25b + 10b2] = 0

Solving
6a2 + 25b + 10b2 = 0

Solving for variable 'a'.

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

Add '-25b' to each side of the equation.
6a2 + 25b + -25b + 10b2 = 0 + -25b

Combine like terms: 25b + -25b = 0
6a2 + 0 + 10b2 = 0 + -25b
6a2 + 10b2 = 0 + -25b
Remove the zero:
6a2 + 10b2 = -25b

Add '-10b2' to each side of the equation.
6a2 + 10b2 + -10b2 = -25b + -10b2

Combine like terms: 10b2 + -10b2 = 0
6a2 + 0 = -25b + -10b2
6a2 = -25b + -10b2

Divide each side by '6'.
a2 = -4.166666667b + -1.666666667b2

Simplifying
a2 = -4.166666667b + -1.666666667b2

Reorder the terms:
a2 + 4.166666667b + 1.666666667b2 = -4.166666667b + 4.166666667b + -1.666666667b2 + 1.666666667b2

Combine like terms: -4.166666667b + 4.166666667b = 0.000000000
a2 + 4.166666667b + 1.666666667b2 = 0.000000000 + -1.666666667b2 + 1.666666667b2
a2 + 4.166666667b + 1.666666667b2 = -1.666666667b2 + 1.666666667b2

Combine like terms: -1.666666667b2 + 1.666666667b2 = 0.000000000
a2 + 4.166666667b + 1.666666667b2 = 0.000000000

The solution to this equation could not be determined.

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