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Simplifying 5a2 + 10ab + -15a2 = 0 Reorder the terms: 10ab + 5a2 + -15a2 = 0 Combine like terms: 5a2 + -15a2 = -10a2 10ab + -10a2 = 0 Solving 10ab + -10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10a'. 10a(b + -1a) = 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 '(b + -1a)' equal to zero and attempt to solve: Simplifying b + -1a = 0 Reorder the terms: -1a + b = 0 Solving -1a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -1a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -1a + 0 = 0 + -1b -1a = 0 + -1b Remove the zero: -1a = -1b Divide each side by '-1'. a = b Simplifying a = bSolution
a = {0, b}
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