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Simplifying 0 = 3ab2 + -30ab + 24a Reorder the terms: 0 = 24a + -30ab + 3ab2 Solving 0 = 24a + -30ab + 3ab2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 0 + -24a = 24a + -30ab + -24a + 3ab2 Remove the zero: -24a = 24a + -30ab + -24a + 3ab2 Reorder the terms: -24a = 24a + -24a + -30ab + 3ab2 Combine like terms: 24a + -24a = 0 -24a = 0 + -30ab + 3ab2 -24a = -30ab + 3ab2 Add '30ab' to each side of the equation. -24a + 30ab = -30ab + 30ab + 3ab2 Combine like terms: -30ab + 30ab = 0 -24a + 30ab = 0 + 3ab2 -24a + 30ab = 3ab2 Add '-3ab2' to each side of the equation. -24a + 30ab + -3ab2 = 3ab2 + -3ab2 Combine like terms: 3ab2 + -3ab2 = 0 -24a + 30ab + -3ab2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(-8 + 10b + -1b2) = 0 Ignore the factor 3.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 '(-8 + 10b + -1b2)' equal to zero and attempt to solve: Simplifying -8 + 10b + -1b2 = 0 Solving -8 + 10b + -1b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 10b + 8 + -1b2 = 0 + 8 Reorder the terms: -8 + 8 + 10b + -1b2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 10b + -1b2 = 0 + 8 10b + -1b2 = 0 + 8 Combine like terms: 0 + 8 = 8 10b + -1b2 = 8 Add '-10b' to each side of the equation. 10b + -10b + -1b2 = 8 + -10b Combine like terms: 10b + -10b = 0 0 + -1b2 = 8 + -10b -1b2 = 8 + -10b Add 'b2' to each side of the equation. -1b2 + b2 = 8 + -10b + b2 Combine like terms: -1b2 + b2 = 0 0 = 8 + -10b + b2 Simplifying 0 = 8 + -10b + b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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