5ab(2a-b*b+5)=0

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Solution for 5ab(2a-b*b+5)=0 equation: 


Simplifying
5ab(2a + -1b * b + 5) = 0

Multiply b * b
5ab(2a + -1b2 + 5) = 0

Reorder the terms:
5ab(5 + 2a + -1b2) = 0
(5 * 5ab + 2a * 5ab + -1b2 * 5ab) = 0

Reorder the terms:
(25ab + -5ab3 + 10a2b) = 0
(25ab + -5ab3 + 10a2b) = 0

Solving
25ab + -5ab3 + 10a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab'.
5ab(5 + -1b2 + 2a) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + -1b2 + 2a)' equal to zero and attempt to solve:

Simplifying
5 + -1b2 + 2a = 0

Reorder the terms:
5 + 2a + -1b2 = 0

Solving
5 + 2a + -1b2 = 0

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

Add '-5' to each side of the equation.
5 + 2a + -5 + -1b2 = 0 + -5

Reorder the terms:
5 + -5 + 2a + -1b2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2a + -1b2 = 0 + -5
2a + -1b2 = 0 + -5

Combine like terms: 0 + -5 = -5
2a + -1b2 = -5

Add 'b2' to each side of the equation.
2a + -1b2 + b2 = -5 + b2

Combine like terms: -1b2 + b2 = 0
2a + 0 = -5 + b2
2a = -5 + b2

Divide each side by '2'.
a = -2.5 + 0.5b2

Simplifying
a = -2.5 + 0.5b2
Solution
a = {-2.5 + 0.5b2}

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