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Simplifying 30a2 + am + -1m2 = 0 Reorder the terms: am + 30a2 + -1m2 = 0 Solving am + 30a2 + -1m2 = 0 Solving for variable 'a'. Factor a trinomial. (6a + -1m)(5a + m) = 0Subproblem 1
Set the factor '(6a + -1m)' equal to zero and attempt to solve: Simplifying 6a + -1m = 0 Solving 6a + -1m = 0 Move all terms containing a to the left, all other terms to the right. Add 'm' to each side of the equation. 6a + -1m + m = 0 + m Combine like terms: -1m + m = 0 6a + 0 = 0 + m 6a = 0 + m Remove the zero: 6a = m Divide each side by '6'. a = 0.1666666667m Simplifying a = 0.1666666667mSubproblem 2
Set the factor '(5a + m)' equal to zero and attempt to solve: Simplifying 5a + m = 0 Solving 5a + m = 0 Move all terms containing a to the left, all other terms to the right. Add '-1m' to each side of the equation. 5a + m + -1m = 0 + -1m Combine like terms: m + -1m = 0 5a + 0 = 0 + -1m 5a = 0 + -1m Remove the zero: 5a = -1m Divide each side by '5'. a = -0.2m Simplifying a = -0.2mSolution
a = {0.1666666667m, -0.2m}
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