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Simplifying (ax + 7) * a = 0 Reorder the terms: (7 + ax) * a = 0 Reorder the terms for easier multiplication: a(7 + ax) = 0 (7 * a + ax * a) = 0 (7a + a2x) = 0 Solving 7a + a2x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(7 + ax) = 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 '(7 + ax)' equal to zero and attempt to solve: Simplifying 7 + ax = 0 Solving 7 + ax = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + ax = 0 + -7 Combine like terms: 7 + -7 = 0 0 + ax = 0 + -7 ax = 0 + -7 Combine like terms: 0 + -7 = -7 ax = -7 Divide each side by 'x'. a = -7x-1 Simplifying a = -7x-1Solution
a = {0, -7x-1}
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