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Simplifying 10a(12a + -3b) = 0 (12a * 10a + -3b * 10a) = 0 Reorder the terms: (-30ab + 120a2) = 0 (-30ab + 120a2) = 0 Solving -30ab + 120a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '30a'. 30a(-1b + 4a) = 0 Ignore the factor 30.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 + 4a)' equal to zero and attempt to solve: Simplifying -1b + 4a = 0 Reorder the terms: 4a + -1b = 0 Solving 4a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 4a + -1b + b = 0 + b Combine like terms: -1b + b = 0 4a + 0 = 0 + b 4a = 0 + b Remove the zero: 4a = b Divide each side by '4'. a = 0.25b Simplifying a = 0.25bSolution
a = {0, 0.25b}
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