(5ab+x)(2ab-x)=

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Solution for (5ab+x)(2ab-x)= equation: 


Simplifying
(5ab + x)(2ab + -1x) = 0

Multiply (5ab + x) * (2ab + -1x)
(5ab * (2ab + -1x) + x(2ab + -1x)) = 0
((2ab * 5ab + -1x * 5ab) + x(2ab + -1x)) = 0

Reorder the terms:
((-5abx + 10a2b2) + x(2ab + -1x)) = 0
((-5abx + 10a2b2) + x(2ab + -1x)) = 0
(-5abx + 10a2b2 + (2ab * x + -1x * x)) = 0
(-5abx + 10a2b2 + (2abx + -1x2)) = 0

Reorder the terms:
(-5abx + 2abx + 10a2b2 + -1x2) = 0

Combine like terms: -5abx + 2abx = -3abx
(-3abx + 10a2b2 + -1x2) = 0

Solving
-3abx + 10a2b2 + -1x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2ab + -1x)(5ab + x) = 0


Subproblem 1
Set the factor '(2ab + -1x)' equal to zero and attempt to solve:

Simplifying
2ab + -1x = 0

Solving
2ab + -1x = 0

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

Add 'x' to each side of the equation.
2ab + -1x + x = 0 + x

Combine like terms: -1x + x = 0
2ab + 0 = 0 + x
2ab = 0 + x
Remove the zero:
2ab = x

Divide each side by '2b'.
a = 0.5b-1x

Simplifying
a = 0.5b-1x

Subproblem 2
Set the factor '(5ab + x)' equal to zero and attempt to solve:

Simplifying
5ab + x = 0

Solving
5ab + x = 0

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

Add '-1x' to each side of the equation.
5ab + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
5ab + 0 = 0 + -1x
5ab = 0 + -1x
Remove the zero:
5ab = -1x

Divide each side by '5b'.
a = -0.2b-1x

Simplifying
a = -0.2b-1x
Solution
a = {0.5b-1x, -0.2b-1x}

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