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Simplifying 20a2 + -49ab + 30b2 = 0 Reorder the terms: -49ab + 20a2 + 30b2 = 0 Solving -49ab + 20a2 + 30b2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + -5b)(5a + -6b) = 0Subproblem 1
Set the factor '(4a + -5b)' equal to zero and attempt to solve: Simplifying 4a + -5b = 0 Solving 4a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 4a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 4a + 0 = 0 + 5b 4a = 0 + 5b Remove the zero: 4a = 5b Divide each side by '4'. a = 1.25b Simplifying a = 1.25bSubproblem 2
Set the factor '(5a + -6b)' equal to zero and attempt to solve: Simplifying 5a + -6b = 0 Solving 5a + -6b = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 5a + -6b + 6b = 0 + 6b Combine like terms: -6b + 6b = 0 5a + 0 = 0 + 6b 5a = 0 + 6b Remove the zero: 5a = 6b Divide each side by '5'. a = 1.2b Simplifying a = 1.2bSolution
a = {1.25b, 1.2b}
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