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Simplifying 0 = 5a + -2a(5 + -1b) 0 = 5a + (5 * -2a + -1b * -2a) 0 = 5a + (-10a + 2ab) Combine like terms: 5a + -10a = -5a 0 = -5a + 2ab Solving 0 = -5a + 2ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 0 + 5a = -5a + 5a + 2ab Remove the zero: 5a = -5a + 5a + 2ab Combine like terms: -5a + 5a = 0 5a = 0 + 2ab 5a = 2ab Add '-2ab' to each side of the equation. 5a + -2ab = 2ab + -2ab Combine like terms: 2ab + -2ab = 0 5a + -2ab = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(5 + -2b) = 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 '(5 + -2b)' equal to zero and attempt to solve: Simplifying 5 + -2b = 0 Solving 5 + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2b = 0 + -5 -2b = 0 + -5 Combine like terms: 0 + -5 = -5 -2b = -5 Add '2b' to each side of the equation. -2b + 2b = -5 + 2b Combine like terms: -2b + 2b = 0 0 = -5 + 2b Simplifying 0 = -5 + 2b 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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