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Simplifying 7a2b + 10ab + -8b = 0 Reorder the terms: 10ab + 7a2b + -8b = 0 Solving 10ab + 7a2b + -8b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(10a + 7a2 + -8) = 0 Factor a trinomial. b((7a + -4)(a + 2)) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(7a + -4)' equal to zero and attempt to solve: Simplifying 7a + -4 = 0 Reorder the terms: -4 + 7a = 0 Solving -4 + 7a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7a = 0 + 4 7a = 0 + 4 Combine like terms: 0 + 4 = 4 7a = 4 Divide each side by '7'. a = 0.5714285714 Simplifying a = 0.5714285714Subproblem 3
Set the factor '(a + 2)' equal to zero and attempt to solve: Simplifying a + 2 = 0 Reorder the terms: 2 + a = 0 Solving 2 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a = 0 + -2 a = 0 + -2 Combine like terms: 0 + -2 = -2 a = -2 Simplifying a = -2Solution
a = {0.5714285714, -2}
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