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Simplifying 1 + -7ab + -60a2b2 = 0 Solving 1 + -7ab + -60a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -12ab)(1 + 5ab) = 0Subproblem 1
Set the factor '(1 + -12ab)' equal to zero and attempt to solve: Simplifying 1 + -12ab = 0 Solving 1 + -12ab = 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 + -12ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -12ab = 0 + -1 -12ab = 0 + -1 Combine like terms: 0 + -1 = -1 -12ab = -1 Divide each side by '-12b'. a = 0.08333333333b-1 Simplifying a = 0.08333333333b-1Subproblem 2
Set the factor '(1 + 5ab)' equal to zero and attempt to solve: Simplifying 1 + 5ab = 0 Solving 1 + 5ab = 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 + 5ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5ab = 0 + -1 5ab = 0 + -1 Combine like terms: 0 + -1 = -1 5ab = -1 Divide each side by '5b'. a = -0.2b-1 Simplifying a = -0.2b-1Solution
a = {0.08333333333b-1, -0.2b-1}
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