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Simplifying 5ab2(6a + -4cb) + 2b2a2 = 0 (6a * 5ab2 + -4bc * 5ab2) + 2b2a2 = 0 Reorder the terms: (-20ab3c + 30a2b2) + 2b2a2 = 0 (-20ab3c + 30a2b2) + 2b2a2 = 0 Combine like terms: 30a2b2 + 2a2b2 = 32a2b2 -20ab3c + 32a2b2 = 0 Solving -20ab3c + 32a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4ab2'. 4ab2(-5bc + 8a) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-5bc + 8a)' equal to zero and attempt to solve: Simplifying -5bc + 8a = 0 Reorder the terms: 8a + -5bc = 0 Solving 8a + -5bc = 0 Move all terms containing a to the left, all other terms to the right. Add '5bc' to each side of the equation. 8a + -5bc + 5bc = 0 + 5bc Combine like terms: -5bc + 5bc = 0 8a + 0 = 0 + 5bc 8a = 0 + 5bc Remove the zero: 8a = 5bc Divide each side by '8'. a = 0.625bc Simplifying a = 0.625bcSolution
a = {0.625bc}
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