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Simplifying 5am2 + -40am + 35a = 0 Reorder the terms: 35a + -40am + 5am2 = 0 Solving 35a + -40am + 5am2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5a'. 5a(7 + -8m + m2) = 0 Factor a trinomial. 5a((1 + -1m)(7 + -1m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Add 'm' to each side of the equation. -1m + m = -1 + m Combine like terms: -1m + m = 0 0 = -1 + m Simplifying 0 = -1 + m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Add 'm' to each side of the equation. -1m + m = -7 + m Combine like terms: -1m + m = 0 0 = -7 + m Simplifying 0 = -7 + m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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