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Simplifying -8a2b + -6ab + 5b = 0 Reorder the terms: -6ab + -8a2b + 5b = 0 Solving -6ab + -8a2b + 5b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(-6a + -8a2 + 5) = 0 Factor a trinomial. b((-4a + -5)(2a + -1)) = 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 '(-4a + -5)' equal to zero and attempt to solve: Simplifying -4a + -5 = 0 Reorder the terms: -5 + -4a = 0 Solving -5 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4a = 0 + 5 -4a = 0 + 5 Combine like terms: 0 + 5 = 5 -4a = 5 Divide each side by '-4'. a = -1.25 Simplifying a = -1.25Subproblem 3
Set the factor '(2a + -1)' equal to zero and attempt to solve: Simplifying 2a + -1 = 0 Reorder the terms: -1 + 2a = 0 Solving -1 + 2a = 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 + 2a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 0 + 1 2a = 0 + 1 Combine like terms: 0 + 1 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5Solution
a = {-1.25, 0.5}
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