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Simplifying 14a2 + -37ab + -42b2 = 0 Reorder the terms: -37ab + 14a2 + -42b2 = 0 Solving -37ab + 14a2 + -42b2 = 0 Solving for variable 'a'. Factor a trinomial. (2a + -7b)(7a + 6b) = 0Subproblem 1
Set the factor '(2a + -7b)' equal to zero and attempt to solve: Simplifying 2a + -7b = 0 Solving 2a + -7b = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 2a + -7b + 7b = 0 + 7b Combine like terms: -7b + 7b = 0 2a + 0 = 0 + 7b 2a = 0 + 7b Remove the zero: 2a = 7b Divide each side by '2'. a = 3.5b Simplifying a = 3.5bSubproblem 2
Set the factor '(7a + 6b)' equal to zero and attempt to solve: Simplifying 7a + 6b = 0 Solving 7a + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 7a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 7a + 0 = 0 + -6b 7a = 0 + -6b Remove the zero: 7a = -6b Divide each side by '7'. a = -0.8571428571b Simplifying a = -0.8571428571bSolution
a = {3.5b, -0.8571428571b}
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