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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) = 0Subproblem 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 = 0Subproblem 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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