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Simplifying 5a2c + -11ac + 2c = 0 Reorder the terms: -11ac + 5a2c + 2c = 0 Solving -11ac + 5a2c + 2c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'c'. c(-11a + 5a2 + 2) = 0 Factor a trinomial. c((a + -2)(5a + -1)) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. c + -1c = 0 + -1c Remove the zero: 0 = -1c Simplifying 0 = -1c 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 + -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 = 2Subproblem 3
Set the factor '(5a + -1)' equal to zero and attempt to solve: Simplifying 5a + -1 = 0 Reorder the terms: -1 + 5a = 0 Solving -1 + 5a = 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 + 5a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5a = 0 + 1 5a = 0 + 1 Combine like terms: 0 + 1 = 1 5a = 1 Divide each side by '5'. a = 0.2 Simplifying a = 0.2Solution
a = {2, 0.2}
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