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Simplifying 7a(a + -1b) = 0 (a * 7a + -1b * 7a) = 0 Reorder the terms: (-7ab + 7a2) = 0 (-7ab + 7a2) = 0 Solving -7ab + 7a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7a'. 7a(-1b + a) = 0 Ignore the factor 7.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 '(-1b + a)' equal to zero and attempt to solve: Simplifying -1b + a = 0 Reorder the terms: a + -1b = 0 Solving a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b = 0 + b Combine like terms: -1b + b = 0 a + 0 = 0 + b a = 0 + b Remove the zero: a = b Simplifying a = bSolution
a = {0, b}
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