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Simplifying x2 + -9abx + 20a2b2 = 0 Reorder the terms: -9abx + 20a2b2 + x2 = 0 Solving -9abx + 20a2b2 + x2 = 0 Solving for variable 'a'. Factor a trinomial. (4ab + -1x)(5ab + -1x) = 0Subproblem 1
Set the factor '(4ab + -1x)' equal to zero and attempt to solve: Simplifying 4ab + -1x = 0 Solving 4ab + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 4ab + -1x + x = 0 + x Combine like terms: -1x + x = 0 4ab + 0 = 0 + x 4ab = 0 + x Remove the zero: 4ab = x Divide each side by '4b'. a = 0.25b-1x Simplifying a = 0.25b-1xSubproblem 2
Set the factor '(5ab + -1x)' equal to zero and attempt to solve: Simplifying 5ab + -1x = 0 Solving 5ab + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 5ab + -1x + x = 0 + x Combine like terms: -1x + x = 0 5ab + 0 = 0 + x 5ab = 0 + x Remove the zero: 5ab = x Divide each side by '5b'. a = 0.2b-1x Simplifying a = 0.2b-1xSolution
a = {0.25b-1x, 0.2b-1x}
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