9a^2-4[5b-4b(b+5)]=

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Solution for 9a^2-4[5b-4b(b+5)]= equation: 


Simplifying
9a2 + -4[5b + -4b(b + 5)] = 0

Reorder the terms:
9a2 + -4[5b + -4b(5 + b)] = 0
9a2 + -4[5b + (5 * -4b + b * -4b)] = 0
9a2 + -4[5b + (-20b + -4b2)] = 0

Combine like terms: 5b + -20b = -15b
9a2 + -4[-15b + -4b2] = 0
9a2 + [-15b * -4 + -4b2 * -4] = 0
9a2 + [60b + 16b2] = 0

Solving
9a2 + 60b + 16b2 = 0

Solving for variable 'a'.

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

Add '-60b' to each side of the equation.
9a2 + 60b + -60b + 16b2 = 0 + -60b

Combine like terms: 60b + -60b = 0
9a2 + 0 + 16b2 = 0 + -60b
9a2 + 16b2 = 0 + -60b
Remove the zero:
9a2 + 16b2 = -60b

Add '-16b2' to each side of the equation.
9a2 + 16b2 + -16b2 = -60b + -16b2

Combine like terms: 16b2 + -16b2 = 0
9a2 + 0 = -60b + -16b2
9a2 = -60b + -16b2

Divide each side by '9'.
a2 = -6.666666667b + -1.777777778b2

Simplifying
a2 = -6.666666667b + -1.777777778b2

Reorder the terms:
a2 + 6.666666667b + 1.777777778b2 = -6.666666667b + 6.666666667b + -1.777777778b2 + 1.777777778b2

Combine like terms: -6.666666667b + 6.666666667b = 0.000000000
a2 + 6.666666667b + 1.777777778b2 = 0.000000000 + -1.777777778b2 + 1.777777778b2
a2 + 6.666666667b + 1.777777778b2 = -1.777777778b2 + 1.777777778b2

Combine like terms: -1.777777778b2 + 1.777777778b2 = 0.000000000
a2 + 6.666666667b + 1.777777778b2 = 0.000000000

The solution to this equation could not be determined.

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