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Simplifying 10a3b3 + -9a2b2 + -7ab = 0 Reorder the terms: -7ab + -9a2b2 + 10a3b3 = 0 Solving -7ab + -9a2b2 + 10a3b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'ab'. ab(-7 + -9ab + 10a2b2) = 0 Factor a trinomial. ab((-1 + -2ab)(7 + -5ab)) = 0Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 + -2ab)' equal to zero and attempt to solve: Simplifying -1 + -2ab = 0 Solving -1 + -2ab = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2ab = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2ab = 0 + 1 -2ab = 0 + 1 Combine like terms: 0 + 1 = 1 -2ab = 1 Divide each side by '-2b'. a = -0.5b-1 Simplifying a = -0.5b-1Subproblem 3
Set the factor '(7 + -5ab)' equal to zero and attempt to solve: Simplifying 7 + -5ab = 0 Solving 7 + -5ab = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5ab = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5ab = 0 + -7 -5ab = 0 + -7 Combine like terms: 0 + -7 = -7 -5ab = -7 Divide each side by '-5b'. a = 1.4b-1 Simplifying a = 1.4b-1Solution
a = {-0.5b-1, 1.4b-1}
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