a(b+a)=23math

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Solution for a(b+a)=23math equation: 


Simplifying
a(b + a) = 23math

Reorder the terms:
a(a + b) = 23math
(a * a + b * a) = 23math

Reorder the terms:
(ab + a2) = 23math
(ab + a2) = 23math

Solving
ab + a2 = 23ahmt

Solving for variable 'a'.

Reorder the terms:
ab + -23ahmt + a2 = 23ahmt + -23ahmt

Combine like terms: 23ahmt + -23ahmt = 0
ab + -23ahmt + a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(b + -23hmt + a) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(b + -23hmt + a)' equal to zero and attempt to solve:

Simplifying
b + -23hmt + a = 0

Reorder the terms:
a + b + -23hmt = 0

Solving
a + b + -23hmt = 0

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

Add '-1b' to each side of the equation.
a + b + -1b + -23hmt = 0 + -1b

Combine like terms: b + -1b = 0
a + 0 + -23hmt = 0 + -1b
a + -23hmt = 0 + -1b
Remove the zero:
a + -23hmt = -1b

Add '23hmt' to each side of the equation.
a + -23hmt + 23hmt = -1b + 23hmt

Combine like terms: -23hmt + 23hmt = 0
a + 0 = -1b + 23hmt
a = -1b + 23hmt

Simplifying
a = -1b + 23hmt
Solution
a = {0, -1b + 23hmt}

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