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Simplifying 5a(7b + 2c) = 0 (7b * 5a + 2c * 5a) = 0 (35ab + 10ac) = 0 Solving 35ab + 10ac = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5a'. 5a(7b + 2c) = 0 Ignore the factor 5.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 '(7b + 2c)' equal to zero and attempt to solve: Simplifying 7b + 2c = 0 Solving 7b + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7b + -7b + 2c = 0 + -7b Combine like terms: 7b + -7b = 0 0 + 2c = 0 + -7b 2c = 0 + -7b Remove the zero: 2c = -7b Add '-2c' to each side of the equation. 2c + -2c = -7b + -2c Combine like terms: 2c + -2c = 0 0 = -7b + -2c Simplifying 0 = -7b + -2c 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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