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Simplifying -3a2 + a * b2 = 0 Multiply a * b2 -3a2 + ab2 = 0 Reorder the terms: ab2 + -3a2 = 0 Solving ab2 + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(b2 + -3a) = 0Subproblem 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 '(b2 + -3a)' equal to zero and attempt to solve: Simplifying b2 + -3a = 0 Reorder the terms: -3a + b2 = 0 Solving -3a + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b2' to each side of the equation. -3a + b2 + -1b2 = 0 + -1b2 Combine like terms: b2 + -1b2 = 0 -3a + 0 = 0 + -1b2 -3a = 0 + -1b2 Remove the zero: -3a = -1b2 Divide each side by '-3'. a = 0.3333333333b2 Simplifying a = 0.3333333333b2Solution
a = {0, 0.3333333333b2}
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