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Simplifying 4a2b + -10ab + -50b = 0 Reorder the terms: -10ab + 4a2b + -50b = 0 Solving -10ab + 4a2b + -50b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-5a + 2a2 + -25) = 0 Factor a trinomial. 2b((a + -5)(2a + 5)) = 0 Ignore the factor 2.Subproblem 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 '(a + -5)' equal to zero and attempt to solve: Simplifying a + -5 = 0 Reorder the terms: -5 + a = 0 Solving -5 + a = 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 + a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + a = 0 + 5 a = 0 + 5 Combine like terms: 0 + 5 = 5 a = 5 Simplifying a = 5Subproblem 3
Set the factor '(2a + 5)' equal to zero and attempt to solve: Simplifying 2a + 5 = 0 Reorder the terms: 5 + 2a = 0 Solving 5 + 2a = 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 + 2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2a = 0 + -5 2a = 0 + -5 Combine like terms: 0 + -5 = -5 2a = -5 Divide each side by '2'. a = -2.5 Simplifying a = -2.5Solution
a = {5, -2.5}
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