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Simplifying 6b2 + ab + -15a2 = 0 Reorder the terms: ab + -15a2 + 6b2 = 0 Solving ab + -15a2 + 6b2 = 0 Solving for variable 'a'. Factor a trinomial. (-5a + -3b)(3a + -2b) = 0Subproblem 1
Set the factor '(-5a + -3b)' equal to zero and attempt to solve: Simplifying -5a + -3b = 0 Solving -5a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. -5a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 -5a + 0 = 0 + 3b -5a = 0 + 3b Remove the zero: -5a = 3b Divide each side by '-5'. a = -0.6b Simplifying a = -0.6bSubproblem 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 = {-0.6b, 0.6666666667b}
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