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Simplifying a(2c + 5a) = 0 Reorder the terms: a(5a + 2c) = 0 (5a * a + 2c * a) = 0 Reorder the terms: (2ac + 5a2) = 0 (2ac + 5a2) = 0 Solving 2ac + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(2c + 5a) = 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 '(2c + 5a)' equal to zero and attempt to solve: Simplifying 2c + 5a = 0 Reorder the terms: 5a + 2c = 0 Solving 5a + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. 5a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 5a + 0 = 0 + -2c 5a = 0 + -2c Remove the zero: 5a = -2c Divide each side by '5'. a = -0.4c Simplifying a = -0.4cSolution
a = {0, -0.4c}
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