5a+5b=10ab

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Solution for 5a+5b=10ab equation:


Simplifying
5a + 5b = 10ab

Solving
5a + 5b = 10ab

Solving for variable 'a'.

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

Add '-10ab' to each side of the equation.
5a + -10ab + 5b = 10ab + -10ab

Combine like terms: 10ab + -10ab = 0
5a + -10ab + 5b = 0

Add '-5b' to each side of the equation.
5a + -10ab + 5b + -5b = 0 + -5b

Combine like terms: 5b + -5b = 0
5a + -10ab + 0 = 0 + -5b
5a + -10ab = 0 + -5b
Remove the zero:
5a + -10ab = -5b

Combine like terms: -5b + 5b = 0
5a + -10ab + 5b = 0

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

Ignore the factor 5.

Subproblem 1

Set the factor '(a + -2ab + b)' equal to zero and attempt to solve: Simplifying a + -2ab + b = 0 Solving a + -2ab + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + -2ab + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 a + -2ab + 0 = 0 + -1b a + -2ab = 0 + -1b Remove the zero: a + -2ab = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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