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Simplifying 0 = 25a2b2 + 30ab3 + 5ab2 Reorder the terms: 0 = 5ab2 + 30ab3 + 25a2b2 Solving 0 = 5ab2 + 30ab3 + 25a2b2 Solving for variable 'a'. Remove the zero: -5ab2 + -30ab3 + -25a2b2 = 5ab2 + 30ab3 + 25a2b2 + -5ab2 + -30ab3 + -25a2b2 Reorder the terms: -5ab2 + -30ab3 + -25a2b2 = 5ab2 + -5ab2 + 30ab3 + -30ab3 + 25a2b2 + -25a2b2 Combine like terms: 5ab2 + -5ab2 = 0 -5ab2 + -30ab3 + -25a2b2 = 0 + 30ab3 + -30ab3 + 25a2b2 + -25a2b2 -5ab2 + -30ab3 + -25a2b2 = 30ab3 + -30ab3 + 25a2b2 + -25a2b2 Combine like terms: 30ab3 + -30ab3 = 0 -5ab2 + -30ab3 + -25a2b2 = 0 + 25a2b2 + -25a2b2 -5ab2 + -30ab3 + -25a2b2 = 25a2b2 + -25a2b2 Combine like terms: 25a2b2 + -25a2b2 = 0 -5ab2 + -30ab3 + -25a2b2 = 0 Factor out the Greatest Common Factor (GCF), '-5ab2'. -5ab2(1 + 6b + 5a) = 0 Ignore the factor -5.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 '(1 + 6b + 5a)' equal to zero and attempt to solve: Simplifying 1 + 6b + 5a = 0 Reorder the terms: 1 + 5a + 6b = 0 Solving 1 + 5a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5a + -1 + 6b = 0 + -1 Reorder the terms: 1 + -1 + 5a + 6b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5a + 6b = 0 + -1 5a + 6b = 0 + -1 Combine like terms: 0 + -1 = -1 5a + 6b = -1 Add '-6b' to each side of the equation. 5a + 6b + -6b = -1 + -6b Combine like terms: 6b + -6b = 0 5a + 0 = -1 + -6b 5a = -1 + -6b Divide each side by '5'. a = -0.2 + -1.2b Simplifying a = -0.2 + -1.2bSolution
a = {-0.2 + -1.2b}
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