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Simplifying 10a2 + -5ab2 = 0 Reorder the terms: -5ab2 + 10a2 = 0 Solving -5ab2 + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(-1b2 + 2a) = 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 '(-1b2 + 2a)' equal to zero and attempt to solve: Simplifying -1b2 + 2a = 0 Reorder the terms: 2a + -1b2 = 0 Solving 2a + -1b2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'b2' to each side of the equation. 2a + -1b2 + b2 = 0 + b2 Combine like terms: -1b2 + b2 = 0 2a + 0 = 0 + b2 2a = 0 + b2 Remove the zero: 2a = b2 Divide each side by '2'. a = 0.5b2 Simplifying a = 0.5b2Solution
a = {0, 0.5b2}
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