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Simplifying -243 = a(10 + x) -243 = (10 * a + x * a) -243 = (10a + ax) Solving -243 = 10a + ax 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. -243 + -10a = 10a + -10a + ax Combine like terms: 10a + -10a = 0 -243 + -10a = 0 + ax -243 + -10a = ax Add '-1ax' to each side of the equation. -243 + -10a + -1ax = ax + -1ax Combine like terms: ax + -1ax = 0 -243 + -10a + -1ax = 0 Add '243' to each side of the equation. -243 + -10a + 243 + -1ax = 0 + 243 Reorder the terms: -243 + 243 + -10a + -1ax = 0 + 243 Combine like terms: -243 + 243 = 0 0 + -10a + -1ax = 0 + 243 -10a + -1ax = 0 + 243 Combine like terms: 0 + 243 = 243 -10a + -1ax = 243 Reorder the terms: -243 + -10a + -1ax = 243 + -243 Combine like terms: 243 + -243 = 0 -243 + -10a + -1ax = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(243 + 10a + ax) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(243 + 10a + ax)' equal to zero and attempt to solve: Simplifying 243 + 10a + ax = 0 Solving 243 + 10a + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-243' to each side of the equation. 243 + 10a + -243 + ax = 0 + -243 Reorder the terms: 243 + -243 + 10a + ax = 0 + -243 Combine like terms: 243 + -243 = 0 0 + 10a + ax = 0 + -243 10a + ax = 0 + -243 Combine like terms: 0 + -243 = -243 10a + ax = -243 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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