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Simplifying 15a2 + -22ab + 8b2 = 0 Reorder the terms: -22ab + 15a2 + 8b2 = 0 Solving -22ab + 15a2 + 8b2 = 0 Solving for variable 'a'. Factor a trinomial. (5a + -4b)(3a + -2b) = 0Subproblem 1
Set the factor '(5a + -4b)' equal to zero and attempt to solve: Simplifying 5a + -4b = 0 Solving 5a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 5a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 5a + 0 = 0 + 4b 5a = 0 + 4b Remove the zero: 5a = 4b Divide each side by '5'. a = 0.8b Simplifying a = 0.8bSubproblem 2
Set the factor '(3a + -2b)' equal to zero and attempt to solve: Simplifying 3a + -2b = 0 Solving 3a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 3a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 3a + 0 = 0 + 2b 3a = 0 + 2b Remove the zero: 3a = 2b Divide each side by '3'. a = 0.6666666667b Simplifying a = 0.6666666667bSolution
a = {0.8b, 0.6666666667b}
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