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Simplifying 42a2b + 55ab + -25b = 0 Reorder the terms: 55ab + 42a2b + -25b = 0 Solving 55ab + 42a2b + -25b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'b'. b(55a + 42a2 + -25) = 0 Factor a trinomial. b((14a + -5)(3a + 5)) = 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 '(14a + -5)' equal to zero and attempt to solve: Simplifying 14a + -5 = 0 Reorder the terms: -5 + 14a = 0 Solving -5 + 14a = 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 + 14a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 14a = 0 + 5 14a = 0 + 5 Combine like terms: 0 + 5 = 5 14a = 5 Divide each side by '14'. a = 0.3571428571 Simplifying a = 0.3571428571Subproblem 3
Set the factor '(3a + 5)' equal to zero and attempt to solve: Simplifying 3a + 5 = 0 Reorder the terms: 5 + 3a = 0 Solving 5 + 3a = 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 + 3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 0 + -5 3a = 0 + -5 Combine like terms: 0 + -5 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667Solution
a = {0.3571428571, -1.666666667}
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