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Simplifying 6a2b2 + -43ab + 7 = 0 Reorder the terms: 7 + -43ab + 6a2b2 = 0 Solving 7 + -43ab + 6a2b2 = 0 Solving for variable 'a'. Factor a trinomial. (1 + -6ab)(7 + -1ab) = 0Subproblem 1
Set the factor '(1 + -6ab)' equal to zero and attempt to solve: Simplifying 1 + -6ab = 0 Solving 1 + -6ab = 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 + -6ab = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6ab = 0 + -1 -6ab = 0 + -1 Combine like terms: 0 + -1 = -1 -6ab = -1 Divide each side by '-6b'. a = 0.1666666667b-1 Simplifying a = 0.1666666667b-1Subproblem 2
Set the factor '(7 + -1ab)' equal to zero and attempt to solve: Simplifying 7 + -1ab = 0 Solving 7 + -1ab = 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 + -1ab = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1ab = 0 + -7 -1ab = 0 + -7 Combine like terms: 0 + -7 = -7 -1ab = -7 Divide each side by '-1b'. a = 7b-1 Simplifying a = 7b-1Solution
a = {0.1666666667b-1, 7b-1}
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