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Simplifying 15a2 + -7ab + -2b2 = 0 Reorder the terms: -7ab + 15a2 + -2b2 = 0 Solving -7ab + 15a2 + -2b2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -2b)(5a + b) = 0Subproblem 1
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 = 0.6666666667bSubproblem 2
Set the factor '(5a + b)' equal to zero and attempt to solve: Simplifying 5a + b = 0 Solving 5a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 5a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 5a + 0 = 0 + -1b 5a = 0 + -1b Remove the zero: 5a = -1b Divide each side by '5'. a = -0.2b Simplifying a = -0.2bSolution
a = {0.6666666667b, -0.2b}
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