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Simplifying a(x + 5) + -3a = 12a Reorder the terms: a(5 + x) + -3a = 12a (5 * a + x * a) + -3a = 12a (5a + ax) + -3a = 12a Reorder the terms: 5a + -3a + ax = 12a Combine like terms: 5a + -3a = 2a 2a + ax = 12a Solving 2a + ax = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 2a + -12a + ax = 12a + -12a Combine like terms: 2a + -12a = -10a -10a + ax = 12a + -12a Combine like terms: 12a + -12a = 0 -10a + ax = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(-10 + x) = 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -1x 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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