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Simplifying 3a(x + 5) = 114 Reorder the terms: 3a(5 + x) = 114 (5 * 3a + x * 3a) = 114 (15a + 3ax) = 114 Solving 15a + 3ax = 114 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -114 + 15a + 3ax = 114 + -114 Combine like terms: 114 + -114 = 0 -114 + 15a + 3ax = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-38 + 5a + ax) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-38 + 5a + ax)' equal to zero and attempt to solve: Simplifying -38 + 5a + ax = 0 Solving -38 + 5a + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 5a + 38 + ax = 0 + 38 Reorder the terms: -38 + 38 + 5a + ax = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 5a + ax = 0 + 38 5a + ax = 0 + 38 Combine like terms: 0 + 38 = 38 5a + ax = 38 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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