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Simplifying (25a2 + -30ab) = 0 Reorder the terms: (-30ab + 25a2) = 0 Remove parenthesis around (-30ab + 25a2) -30ab + 25a2 = 0 Solving -30ab + 25a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-6b + 5a) = 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 '(-6b + 5a)' equal to zero and attempt to solve: Simplifying -6b + 5a = 0 Reorder the terms: 5a + -6b = 0 Solving 5a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 5a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 5a + 0 = 0 + 6b 5a = 0 + 6b Remove the zero: 5a = 6b Divide each side by '5'. a = 1.2b Simplifying a = 1.2bSolution
a = {0, 1.2b}
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