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Simplifying 10a(a + -10b) = 0 (a * 10a + -10b * 10a) = 0 Reorder the terms: (-100ab + 10a2) = 0 (-100ab + 10a2) = 0 Solving -100ab + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a'. 10a(-10b + a) = 0 Ignore the factor 10.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 '(-10b + a)' equal to zero and attempt to solve: Simplifying -10b + a = 0 Reorder the terms: a + -10b = 0 Solving a + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 a + 0 = 0 + 10b a = 0 + 10b Remove the zero: a = 10b Simplifying a = 10bSolution
a = {0, 10b}
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