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Simplifying 49m6 + -70am3n2 + 25a2n4 = 0 Reorder the terms: -70am3n2 + 25a2n4 + 49m6 = 0 Solving -70am3n2 + 25a2n4 + 49m6 = 0 Solving for variable 'a'. Factor a trinomial. (5an2 + -7m3)(5an2 + -7m3) = 0Subproblem 1
Set the factor '(5an2 + -7m3)' equal to zero and attempt to solve: Simplifying 5an2 + -7m3 = 0 Solving 5an2 + -7m3 = 0 Move all terms containing a to the left, all other terms to the right. Add '7m3' to each side of the equation. 5an2 + -7m3 + 7m3 = 0 + 7m3 Combine like terms: -7m3 + 7m3 = 0 5an2 + 0 = 0 + 7m3 5an2 = 0 + 7m3 Remove the zero: 5an2 = 7m3 Divide each side by '5n2'. a = 1.4m3n-2 Simplifying a = 1.4m3n-2Subproblem 2
Set the factor '(5an2 + -7m3)' equal to zero and attempt to solve: Simplifying 5an2 + -7m3 = 0 Solving 5an2 + -7m3 = 0 Move all terms containing a to the left, all other terms to the right. Add '7m3' to each side of the equation. 5an2 + -7m3 + 7m3 = 0 + 7m3 Combine like terms: -7m3 + 7m3 = 0 5an2 + 0 = 0 + 7m3 5an2 = 0 + 7m3 Remove the zero: 5an2 = 7m3 Divide each side by '5n2'. a = 1.4m3n-2 Simplifying a = 1.4m3n-2Solution
a = {1.4m3n-2, 1.4m3n-2}
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