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Simplifying -5a(2b + 3c) = 0 (2b * -5a + 3c * -5a) = 0 (-10ab + -15ac) = 0 Solving -10ab + -15ac = 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(2b + 3c) = 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 '(2b + 3c)' equal to zero and attempt to solve: Simplifying 2b + 3c = 0 Solving 2b + 3c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2b + -2b + 3c = 0 + -2b Combine like terms: 2b + -2b = 0 0 + 3c = 0 + -2b 3c = 0 + -2b Remove the zero: 3c = -2b Add '-3c' to each side of the equation. 3c + -3c = -2b + -3c Combine like terms: 3c + -3c = 0 0 = -2b + -3c Simplifying 0 = -2b + -3c 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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