8ax+5a=10a

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Solution for 8ax+5a=10a equation:


Simplifying
8ax + 5a = 10a

Reorder the terms:
5a + 8ax = 10a

Solving
5a + 8ax = 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
5a + -10a + 8ax = 10a + -10a

Combine like terms: 5a + -10a = -5a
-5a + 8ax = 10a + -10a

Combine like terms: 10a + -10a = 0
-5a + 8ax = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-5 + 8x) = 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 '(-5 + 8x)' equal to zero and attempt to solve: Simplifying -5 + 8x = 0 Solving -5 + 8x = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 0 + 5 8x = 0 + 5 Combine like terms: 0 + 5 = 5 8x = 5 Add '-8x' to each side of the equation. 8x + -8x = 5 + -8x Combine like terms: 8x + -8x = 0 0 = 5 + -8x Simplifying 0 = 5 + -8x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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