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Simplifying 12a2 + -25ab * 12b2 = 0 Reorder the terms for easier multiplication: 12a2 + -25 * 12ab * b2 = 0 Multiply -25 * 12 12a2 + -300ab * b2 = 0 Multiply ab * b2 12a2 + -300ab3 = 0 Reorder the terms: -300ab3 + 12a2 = 0 Solving -300ab3 + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '12a'. 12a(-25b3 + a) = 0 Ignore the factor 12.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 '(-25b3 + a)' equal to zero and attempt to solve: Simplifying -25b3 + a = 0 Reorder the terms: a + -25b3 = 0 Solving a + -25b3 = 0 Move all terms containing a to the left, all other terms to the right. Add '25b3' to each side of the equation. a + -25b3 + 25b3 = 0 + 25b3 Combine like terms: -25b3 + 25b3 = 0 a + 0 = 0 + 25b3 a = 0 + 25b3 Remove the zero: a = 25b3 Simplifying a = 25b3Solution
a = {0, 25b3}
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