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Simplifying 8ax + -7a(2) = 19a(2) + -5ax Reorder the terms for easier multiplication: 8ax + -7 * 2a = 19a(2) + -5ax Multiply -7 * 2 8ax + -14a = 19a(2) + -5ax Reorder the terms: -14a + 8ax = 19a(2) + -5ax Reorder the terms for easier multiplication: -14a + 8ax = 19 * 2a + -5ax Multiply 19 * 2 -14a + 8ax = 38a + -5ax Solving -14a + 8ax = 38a + -5ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38a' to each side of the equation. -14a + -38a + 8ax = 38a + -38a + -5ax Combine like terms: -14a + -38a = -52a -52a + 8ax = 38a + -38a + -5ax Combine like terms: 38a + -38a = 0 -52a + 8ax = 0 + -5ax -52a + 8ax = -5ax Add '5ax' to each side of the equation. -52a + 8ax + 5ax = -5ax + 5ax Combine like terms: 8ax + 5ax = 13ax -52a + 13ax = -5ax + 5ax Combine like terms: -5ax + 5ax = 0 -52a + 13ax = 0 Factor out the Greatest Common Factor (GCF), '13a'. 13a(-4 + x) = 0 Ignore the factor 13.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 = 0Subproblem 2
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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